{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Python for Finance, Part 3: Moving Average Trading Strategy\n",
    "\n",
    "In the previous article of this series, we continued to discuss general concepts whicch are fundamental to the design and backtesting of any [quantitative trading strategy](http://www.learndatasci.com/python-finance-part-2-intro-quantitative-trading-strategies/). In detail, we have discussed about \n",
    "\n",
    "1. relative and log-returns, their properties, differences and how to use each one,\n",
    "2. a generic representation of a trading strategy using the normalised asset weights $w_i\\left(t\\right)$ for a set of $N$ \n",
    "   tradable assets and \n",
    "3. a very simple, yet profitable strategy, the way to represent it and how to calculate its total return.\n",
    "\n",
    "If you just found this article, see [Part 1](http://www.learndatasci.com/python-finance-part-yahoo-finance-api-pandas-matplotlib/) and [Part 2](http://www.learndatasci.com/python-finance-part-2-intro-quantitative-trading-strategies/).\n",
    "\n",
    "In this article, we will start designing a more complex trading strategy, which will have non-constant weights $w_i\\left(t\\right)$, and thus adapt in some way to the recent behaviour of the price of our assets. \n",
    "\n",
    "We will again assume we have a universe of just 3 tradable assets, the Apple and Microsoft stocks (with tickers **AAPL** and **MSFT** respectively) and the S&P 500 Index (ticker **^GSPC**).\n",
    "\n",
    "As a reminder, the dataframe containing the three \"cleaned\" price timeseries has the following format:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>AAPL</th>\n",
       "      <th>MSFT</th>\n",
       "      <th>^GSPC</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2000-01-03</th>\n",
       "      <td>3.625643</td>\n",
       "      <td>39.334630</td>\n",
       "      <td>1455.219971</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-04</th>\n",
       "      <td>3.319964</td>\n",
       "      <td>38.005900</td>\n",
       "      <td>1399.420044</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-05</th>\n",
       "      <td>3.368548</td>\n",
       "      <td>38.406628</td>\n",
       "      <td>1402.109985</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-06</th>\n",
       "      <td>3.077039</td>\n",
       "      <td>37.120080</td>\n",
       "      <td>1403.449951</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-07</th>\n",
       "      <td>3.222794</td>\n",
       "      <td>37.605172</td>\n",
       "      <td>1441.469971</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-10</th>\n",
       "      <td>3.166112</td>\n",
       "      <td>37.879354</td>\n",
       "      <td>1457.599976</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-11</th>\n",
       "      <td>3.004162</td>\n",
       "      <td>36.909170</td>\n",
       "      <td>1438.560059</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-12</th>\n",
       "      <td>2.823993</td>\n",
       "      <td>35.706986</td>\n",
       "      <td>1432.250000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-13</th>\n",
       "      <td>3.133722</td>\n",
       "      <td>36.381897</td>\n",
       "      <td>1449.680054</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-14</th>\n",
       "      <td>3.253159</td>\n",
       "      <td>37.879354</td>\n",
       "      <td>1465.150024</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                AAPL       MSFT        ^GSPC\n",
       "2000-01-03  3.625643  39.334630  1455.219971\n",
       "2000-01-04  3.319964  38.005900  1399.420044\n",
       "2000-01-05  3.368548  38.406628  1402.109985\n",
       "2000-01-06  3.077039  37.120080  1403.449951\n",
       "2000-01-07  3.222794  37.605172  1441.469971\n",
       "2000-01-10  3.166112  37.879354  1457.599976\n",
       "2000-01-11  3.004162  36.909170  1438.560059\n",
       "2000-01-12  2.823993  35.706986  1432.250000\n",
       "2000-01-13  3.133722  36.381897  1449.680054\n",
       "2000-01-14  3.253159  37.879354  1465.150024"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib.dates as mdates\n",
    "\n",
    "%matplotlib inline\n",
    "my_year_month_fmt = mdates.DateFormatter('%m/%y')\n",
    "\n",
    "data = pd.read_pickle('./data.pkl')\n",
    "data.head(10)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Moving Average Considerations\n",
    "\n",
    "One of the oldest and simplest trading strategies that exist is the one that uses a moving average of the price (or returns) timeseries to proxy the recent trend of the price. \n",
    "\n",
    "The idea is quite simple, yet powerful; if we use a (say) 100-day moving average of our price time-series, then a significant portion of the daily price noise will have been \"averaged-out\". Thus, we can can observe more closely the longer-term behaviour of the asset. \n",
    "\n",
    "Let us, again, calculate the rolling *simple moving averages (SMA)* of these three timeseries as follows. Remember, again, that when calculating the $M$ days SMA, the first $M-1$ are not valid, as $M$ prices are required for the first moving average data point."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>AAPL</th>\n",
       "      <th>MSFT</th>\n",
       "      <th>^GSPC</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2000-01-03</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-04</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-05</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-06</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-07</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-10</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-11</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-12</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-13</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-14</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-17</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-18</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-19</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-20</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-21</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-24</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-25</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-26</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-27</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-28</th>\n",
       "      <td>3.342434</td>\n",
       "      <td>36.389278</td>\n",
       "      <td>1429.120007</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                AAPL       MSFT        ^GSPC\n",
       "2000-01-03       NaN        NaN          NaN\n",
       "2000-01-04       NaN        NaN          NaN\n",
       "2000-01-05       NaN        NaN          NaN\n",
       "2000-01-06       NaN        NaN          NaN\n",
       "2000-01-07       NaN        NaN          NaN\n",
       "2000-01-10       NaN        NaN          NaN\n",
       "2000-01-11       NaN        NaN          NaN\n",
       "2000-01-12       NaN        NaN          NaN\n",
       "2000-01-13       NaN        NaN          NaN\n",
       "2000-01-14       NaN        NaN          NaN\n",
       "2000-01-17       NaN        NaN          NaN\n",
       "2000-01-18       NaN        NaN          NaN\n",
       "2000-01-19       NaN        NaN          NaN\n",
       "2000-01-20       NaN        NaN          NaN\n",
       "2000-01-21       NaN        NaN          NaN\n",
       "2000-01-24       NaN        NaN          NaN\n",
       "2000-01-25       NaN        NaN          NaN\n",
       "2000-01-26       NaN        NaN          NaN\n",
       "2000-01-27       NaN        NaN          NaN\n",
       "2000-01-28  3.342434  36.389278  1429.120007"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Calculating the short-window simple moving average\n",
    "short_rolling = data.rolling(window=20).mean()\n",
    "short_rolling.head(20)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>AAPL</th>\n",
       "      <th>MSFT</th>\n",
       "      <th>^GSPC</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2016-12-26</th>\n",
       "      <td>110.958205</td>\n",
       "      <td>58.418182</td>\n",
       "      <td>2176.628791</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2016-12-27</th>\n",
       "      <td>111.047874</td>\n",
       "      <td>58.476117</td>\n",
       "      <td>2177.500190</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2016-12-28</th>\n",
       "      <td>111.140589</td>\n",
       "      <td>58.532936</td>\n",
       "      <td>2178.244490</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2016-12-29</th>\n",
       "      <td>111.233698</td>\n",
       "      <td>58.586112</td>\n",
       "      <td>2178.879189</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2016-12-30</th>\n",
       "      <td>111.315270</td>\n",
       "      <td>58.635267</td>\n",
       "      <td>2179.426990</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                  AAPL       MSFT        ^GSPC\n",
       "2016-12-26  110.958205  58.418182  2176.628791\n",
       "2016-12-27  111.047874  58.476117  2177.500190\n",
       "2016-12-28  111.140589  58.532936  2178.244490\n",
       "2016-12-29  111.233698  58.586112  2178.879189\n",
       "2016-12-30  111.315270  58.635267  2179.426990"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Calculating the long-window simple moving average\n",
    "long_rolling = data.rolling(window=100).mean()\n",
    "long_rolling.tail()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let us plot the last $2$ years for these three timeseries for Microsoft stock, to get a feeling about how these behave."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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3Lu5+cbOf21W4ew6eiIiIiIi0E6cCXo/oUwGveR28vDJnEEyJCmLXidKzXtfS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\nfz60GonYMCNlHgHYEtVWp2+iXlMmDIrGoNUQGpnHkn2PUOusISMygzs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K2/KrAXwOXFPM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poGlV0fwDtXgy4Gpl8Kc69nbIZ/r+JVx43khDEpXTqtUe8P6hxub6s3416fyvbDtZww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      "text/plain": [
       "<matplotlib.figure.Figure at 0x21b555fff98>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "start_date = '2015-01-01'\n",
    "end_date = '2016-12-31'\n",
    "\n",
    "fig = plt.figure(figsize=(15,9))\n",
    "ax = fig.add_subplot(1,1,1)\n",
    "\n",
    "ax.plot(data.ix[start_date:end_date, :].index, data.ix[start_date:end_date, 'MSFT'], label='Price')\n",
    "ax.plot(long_rolling.ix[start_date:end_date, :].index, long_rolling.ix[start_date:end_date, 'MSFT'], label = '100-days SMA')\n",
    "ax.plot(short_rolling.ix[start_date:end_date, :].index, short_rolling.ix[start_date:end_date, 'MSFT'], label = '20-days SMA')\n",
    "\n",
    "ax.legend(loc='best')\n",
    "ax.set_ylabel('Price in $')\n",
    "ax.xaxis.set_major_formatter(my_year_month_fmt)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It is straightforward to observe that SMA timeseries are much less noisy than the original price timeseries. However, this comes at a cost: SMA timeseries lag the original price timeseries, which means that changes in the trend are only seen with a delay (lag) of $L$ days. \n",
    "\n",
    "How much is this lag $L$? For a SMA moving average calculated using $M$ days, the lag is roughly $\\frac{M}{2}$ days. Thus, if we are using a $100$ days SMA, this means we may be late by almost $50$ days, which can significantly affect our strategy.\n",
    "\n",
    "One way to reduce the lag induced by the use of the SMA is to use the so-called Exponential Moving Average (EMA), defined as\n",
    "\n",
    "\\begin{equation}\n",
    "\\begin{split}\n",
    "& \\text{EMA}\\left(t\\right) & = \\left(1-\\alpha\\right)\\text{EMA}\\left(t-1\\right) + \\alpha \\ p\\left(t\\right) \\\\ & \\text{EMA}\\left(t_0\\right) & = p\\left(t_0\\right)\n",
    "\\end{split}\n",
    "\\end{equation}\n",
    "\n",
    "where $p\\left(t\\right)$ is the price at time $t$ and $\\alpha$ is called the decay parameter for the EMA. $\\alpha$ is related to the lag as $$ \\alpha = \\frac{1}{L + 1}$$ and the length of the window (span) $M$ as $$ \\alpha = \\frac{2}{M + 1}$$.\n",
    "\n",
    "The reason why EMA reduces the lag is that it puts more weight on more recent observations, whereas the SMA weights all observations equally by $\\frac{1}{M}$. Using Pandas, calculating the exponential moving average is easy. We need to provide a lag value, from which the decay parameter $\\alpha$ is automatically calculated. To be able to compare with the short-time SMA we will use a span value of $20$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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NmDqyI7GhgTzx8Q4y8spIjjn7CponiwoJoLDcSaXLXU8tvTAU8M6Rv78/zz33HDt37mTN\nmjW8/PLL7Ny5E4BnnnmGkSNHsnfvXkaOHMkzzzzj07Ye3yR95cqVbN26lTVr1tCjRw/v+fbt23sD\nn9vt5osvvqBFixbVnjFnzhwGDRrk3bRdRERERORicHxYZVJ0ED8f3JYtGQVsPlhQp/l34JmDB1BQ\n3rCHaSrgnaOEhAR69+4NQFhYGF26dOHw4cMALFiwgNtvvx2A22+/nY8++qjGZ2zYsIGePXvSs2dP\nXn75Ze/xtLQ0Bg8eTO/evenduzerV68GYNKkSdWedeutt7JgwQJ27NhB3759SU1NpUePHuzdu7fa\ne44ePUpYWBihoaEAhIaG0qZNG+/5m266iXnz5gGeDSUHDhyIv7+/93xJSQkrV67kjTfeYO7cuefW\nYSIiIiIi9aCgav5dVHAAfVpHAVBcUUmrOga8qOAAApt/wrs7G3ZBw//sl1z8pq+bzu688zt0sHN0\nZx7p+0itrk1LS2PTpk3069cPgOzsbBISEgCIj48nOzu7xvvuvPNO/vnPfzJkyBAefvhh7/HmzZuz\nZMkSbDYbe/fu5eabb2b9+vVMnjyZ559/nuuuu47CwkJWr17NrFmzePDBB3nggQe49dZbcTgcuFyu\nau/p2bMncXFxtGnThpEjRzJu3DiuueYa7/mOHTvy8ccfk5+fz5w5c/jpT3/Kp59+6j2/YMECrrrq\nKjp27EhMTAybNm1iyJAhtetIEREREZF6VFBVwYsMttI1MRyrxcDpMutWwasopt3m32CL3sLhnLoN\n7bzYqIL3I5WUlDB+/HheeOEFwsPDTzlvGAaGYZxyvKCggIKCAm9Quu2227znnE4nP/vZz0hJSWHC\nhAneoZ9Dhw5l7969HDt2jDlz5jB+/Hj8/f3p378/Tz31FNOnTyc9PZ2goKBq77JYLHz22WfMnz+f\njh078uCDD/Lkk09Wu2bcuHHMnTuXtWvXMnjw4Grn5syZw0033QR4qn3z58+ve0eJiIiIiNSD4yto\nRgYHEOhvoWuC59/ktV5B014IM6/m6/wVuA248dCu+mrqBdEoKni1rbSdb06nk/Hjx3Prrbcybtw4\n7/G4uDgyMzNJSEggMzOT5s2bA56K3aZNm0hMTOTdd9897XOff/554uLi2LJlC263G5vN5j03adIk\n3nnnHebOncuMGTMAuOWWW+jXrx+LFi1i9OjRvPrqq4wYMaLaMw3DoG/fvvTt25crrriCO++8s1rI\nmzhxIpdccgm33347fn4ncn9eXh5ffPEF27ZtwzAMb3XwxRdfrDG4ioiIiIhcSMfn4EUFe1bM7JkU\nyZZDhbXb5Nzthnk/xczewfz2XfHLj+Rwl0e4pD4bXM9UwTtHpmkyefJkunTpwkMPPVTt3NixY5k1\naxYAs2bN4tprrwVgxowZbN68mcWLFxMZGUlkZCQrV64EYPbs2d77CwsLSUhIwM/Pj7fffrvakMs7\n7riDF154AYCuXbsCsH//ftq2bcsvf/lLrr32WrZu3VqtPUeOHGHjxo3e3zdv3kyrVq2qXdOqVSum\nTZvGvffeW+34/Pnzue2220hPTyctLY2MjAxatWrFihUr6t5pIiIiIiLnWUGZAz8D75YIN/dN5udD\n2hIfbjvLncDWuXDga3YMf5hsZwGlRZeSYcTXc4vrlwLeOVq1ahVvv/02X3zxBampqaSmprJ48WIA\nHn30UZYsWUKHDh1YunQpjz76aI3PmDFjBr/4xS9ITU3FNE3v8XvvvZdZs2bRs2dPdu/eTUjIiXHA\ncXFxdOnShTvvvNN77L///S/du3cnNTWV7du3M2nSpGrvcTqd/PrXv6Zz586kpqYyb968ats6HHf3\n3XfTrl27asfmzJnD9ddfX+3Y2LFjtZqmiIiIiFwU8sscRARZ8fPzjC7rkhDO70Z3Oftos+/+B5//\nHlr0YUlQAP6GP4EV3Rv8XniNYoimLwwaNKhaKDtZTEwMy5YtO+szLrnkErZs2eL9/a9//SsAHTp0\nqFaFmz59uvfnsrIy78Irxz366KOnDZHgqc598cUXNZ6bOXNmjcfT0tIA+PLLL085d8899xAWFnba\n94mIiIiIXAi7MotYsOkIXRNPXQvjtAoPw2ePwK6FENsJc+w/WbLqV1wafyk7MyPJb+ABTxW8BmTp\n0qV06dKF+++/n4iICF83R0RERETEZw4XlHPHjHWEBPrz/MTU2t2Unw6vXAZ7l8DIP8D/rWR1ZR4Z\nxRlc0+4a7hjQmuGdm9dvw+uZKngNyOWXX056erqvmyEiIiIi4lMFZQ5uf3MdZQ4X7/1ffxIjg85+\nE8DKv0OlHe5ZDbEdAHhn1zvE2GIY1XoUAe0C6rHVF4YqeCIiIiIi0qA88fEODuaW8dptfegcX8vh\nmUWZsGk29LrNG+62HdvGysMruanzTQRYGn64gwYe8E43B04aP/3di4iIiDRd32WXMKRjLP3bxdT+\npm3/BbcT+v8CgApXBc+uf5ZoWzS3db3tLDc3HA024NlsNgoLC/UP/SbINE1yc3Or7Q8oIiIiIk1H\nUbmT8CBr3W7a+h606AMx7UgrTOOni3/KxqMbmdp7KiHWkLPf30A02Dl4LVu2ZMuWLZSUlPi6KU2O\n3W73ebiy2Wy0bNnSp20QEREREd8osju9+97VytHdkL0NfvJXPtn/CX/+5s9YLVb+MeIfDEsaVm/t\n9IUGG/CsVislJSX06dPH101pcpYvX06vXr183QwRERERaYLcbpOSisq6VfB2LwRgS1wHfvvVA/Ru\n3pvpQ6YTH9KwNzWvSYMNeCIiIiIi0vQUV1RimhBuq0OU2b0YWlzC2+mLCQsI41+X/4tga3D9NdKH\nGuwcPBERERERaXqKyp0Ata/gFWXCkY1ktRvK0vSl3NDhhkYb7kABT0REREREGpAie1XAq20F77tP\nAVhgs+AyXUzoNKG+mnZRUMATEREREZEGo9heCVD7RVZ2L8aMasWCrNVcGn8pSWFJ9dg631PAExER\nERGRBqNOQzQrSuDAV2xo05+M4gyua39dPbfO9xTwRERERESkQdh4MJ9thwuBWlbwNs4Cl4OPAkxC\nrCFcnnx5PbfQ97SKpoiIiIiINAjjXlnt/Tk86CxRJuNbWPIEZR2u5PPczfykzU8a9eIqx6mCJyIi\nIiIiDU5o4BkCXmkuvHcHhCfwUcooyivLub799Resbb6kgCciIiIiIg2Kv5+Bv+U0Ucbthg9+BqVH\ncdzwBm/umUvv5r3p2aznhW2kjyjgiYiIiIjIBWGaJqZpnvO9x1W6z/CMda/B98sovOKPTN09k+yy\nbO7ueTeGYZzTexsaBTwREREREbkgpn+2hza/XVxjyHO5TWauOoDd6arx3opK99lf4CiDFc+xo00/\nJh5ewDeZ3/BYv8cYkDjgxza9wVDAExERERGRC+LfX30PQFHVXnYnW5+Wx5MLd7J8z7Ea7y131Bz8\nqtn4FqvcRUwyjuEy3cy6ahY3db7pR7W5odEqmiIiIiIiUu9cJw2rzCt1EPGDfewy8ssBKChz1Hh/\n2UmVPb/TjLYs2/QWT8bFkxzRmjdHvUmULepHtrrhUcATEREREZF6t/dosffnvNIK2sSGVDt/uCrg\n5Zc5a7z/eAXv11d25IZLkk69IHMr/3YcJis4nLf6/6FJhjvQEE0REREREbkA1qfle3/OLTm1Snco\nvwyAgvKaK3jHA16n+HDiI2ynnN+74T+8HRHGuDZX06t5r/PR5AZJAU9EREREROrdyXPr8kprCnie\nCl7haSp4ZQ7PvL3gAMupJ02T1zKXE2RYmNr3kfPQ2oZLAU9EREREROpVYZmTr747yk8vSwYgt6aA\nV+Cp4OWfZQ5eUA0BLz9jNcusJtfGpDbZoZnHKeCJiIiIiEi9+nR7Jk6XycQ+yYQEWE4Zoulym2QW\n2AEoOE0Fz141RDPIemrAW7j5NZyGwbhevzjPLW94FPBEREREROS8+2J3Np9uywRgweYjtIkNoXuL\ncKJDA8grrah2bXaR3bt5eWH56YZoegJeTUM0l+Vtp7PbQocWfc/nJzRICngiIiIiIk3M6yv2c+eM\ndSyuCmD14a6Z67ln9kayi+ysOZDL2J6JGIZBdEigd4im222ybFc2U+duBiApOqjOQzQLS7LYTAVD\nwtvX27c0JPW6TYJhGJHA60B3wATuAvYA84DWQBpwo2ma+ad5hIiIiIiInGezvkkjI6+cjPxyRqck\n1Ou73vomDdOEsamJAMSEBJBdZGff0RJ+/vZ69h8rJSHCxu/HdCW7yM6s1Wk1PsfureBVjzDf7JiN\n2zAY3GZUfX5Gg1HfFbwXgc9M0+wM9AR2AY8Cy0zT7AAsq/pdREREREQugEqX2zvfLS2nFEelu17f\n98bKA3RvEU67ZqEARIcEkFfq4O9L9nCsqIIXb0rl698MZ/KgNkQGW6modGM/aVPz48pqmINX6a5k\n7v6FRLpcpHS+oV6/o6Got4BnGEYEMAR4A8A0TYdpmgXAtcCsqstmAdfVVxtERERERKS6zELPfLf+\nbWOodJuk5ZbWy3sMw/On3enm2p4tvMdjQgPILLTz6fYsftq/FdemtsBq8cSSyKAAoOaVNMuclQT4\n+2HxM7zHnv/sHjY4cnkosBWW4Ka9euZx9VnBawMcA2YYhrHJMIzXDcMIAeJM0zw+2DcLiKvHNoiI\niIiIyEky8jzbEYzs0hyAvdkl5/0d7qoFU8AT9Mb0PDEMtEt8OAChAf7cOaB1tfuigq1AzStpljtc\n1RZY+WT5H3jr2BpuNsO4fsL889n8Bs0wTfPsV53Lgw2jD7AGGGia5lrDMF4EioD7TdOMPOm6fNM0\nT4nbhmH8HPg5QFxc3CVz58495R0lJSWEhobWS/vl9NTvvqX+9y31v++o731Hfe9b6n/faoz9vzzD\nycwdDp4eFMTvVpYztp2V6zsEnNd3lDlN7l1WRrA/9I7zZ0pKYLXz5ZUm/n5gPakaB7Ar18X0b+08\ncqmNpMDyan3/xrYKduS6+PuwYEqyFvJk+f/o7PJncutpGP4h57X9F6Phw4dvME2zz9muq89FVg4B\nh0zTXFv1+3w88+2yDcNIME0z0zCMBOBoTTebpvka8BpAnz59zGHDhp1yzfLly6npuNQv9btvqf99\nS/3vO+p731Hf+5b637caY/+v/Ww3Vst+bhw9nFd3LacyOIJhw3qf13ccLiiHZV/wxLUpTLw0udb3\nNT9SxPRvV9C6Y1eCcvd4+z4jrwxr2g4iHaUMGzKEiW/eR6S/hRdvXEhMeNJ5bXtDV29DNE3TzAIy\nDMPoVHVoJLAT+Bi4verY7cCC+mqDiIiIiIhUdzCvjJZRwVj8DNo3D+X7Y+d/iGax3TPEMsxmrdN9\n4UH+VfdXeo+53SZj/7mSL3YfJTjAwvd7PmKn1eCOlpcr3NWgXrdJAO4HZhuGEQDsB+7EEyr/axjG\nZCAduLGe2yAiIiIiIlUO5paRFB0MQGJkEOsO5J33dxSVewJaeB0DXlig5/riikqaVx1Lzysjv2pO\nXrDVn0Xb38LPNLmqz/3nrb2NSb0GPNM0NwM1jRMdWZ/vFRERERGRmh3MKyM1ybMkRkJEEEX2Skor\nKgkJrF00KHe4eG9DBtf1anHaAHeigle3uBFqO17Bc3qTyq7MIu/5CNdRPi7ey2XWCGIjW9fp2U1F\nfe+DJyIiIiIiF4nCMieF5U6SvRU8GwCZheW1ur+i0sX1r6ziDwt2MGftwdNed3yIZV0DnsXPIDjA\nQslJQzRPDnjty/5OtsWPm3qrenc6CngiIiIiIk3EwaotEo4P0UyICALgSNXG52ez80gRu7OKAdh+\npOi01xVVVfDCg+o2RJMdHzLDMo2o/C3eQ7syi4gLD6SlcYT1EVkkWUIY2nVi3Z7bhNT3HDwRERER\nEblIHA94rWKOB7y6VfCyizxBMDk6mO2HC0973TlV8L77H7x3B33wo1Pab5kZOok9W/awqWQnzVq6\nCCnfwO7AAJ69ZCp+hupUp6OAJyIiIiLSRPywghcfYcMwal/Byyr0XHd5lzjeXHWAIruzxnl4RXYn\nAf5+BPpbTjlXI9OE5c9AZCtut96IzfI2a4s+hM1gDYbyShf5AQZ3+icwqstNtXtmE6WAJyIiIiLS\nRBzMKyVdHU73AAAgAElEQVQmJIDQqgVVrBY/moUG1rqCl1VUQYDFj8EdY3lz1QF2HC6if7uYU64r\nKq+s3QqapgnffwErn4cjG3mt381sOToPfzOUR/ILub4C1pUk0jalP6269oNOP6nT9zZFCngiIiIi\nIk3EwbwTWyQclxAZRGZh7Sp42UV2mocH0jUhHIC9R4trDHjFdifhZxuembMX3p8MmVsgLIHPB0zm\nH5lLaGb0xy/3Rlr28mOetQ1/+mQn634yEsJstfvIJk4BT0RERESkiTiYV0bv5Khqx1pE2thxhgVT\nTpZVaCc+3OatzpVWuGq8rsheeeb5d5UV8N4dUHSEjKv+zFeh4fxr239IiU0hofRuVlcUgOHHrswi\nYkMDaK5wV2uanSgiIiIi0gQ4XW6OFNi9WyQcl5oUSXpumXcBlTPJLrITF27DZvXEiHJHZY3XFZU7\nz7yC5rI/sa5wL+Patmf0nv8wfcNzJIQk8MzgZ4gICvJuk7Arq4guVdVCqR0FPBERERGRJuBIQTku\nt3nKEM0B7WIB+Ob73DPeb5omWVUBzzAMgqwWyp01V/AKyhxEBgfUeC5n1wJm7pjF3QnxOP1tPNzn\nYRZfv5j5Y+eTHJ5MqM2fEkcllW6T77JLFPDqSEM0RURERESaAO8WCT8IeF0TwokMtrJg82HSc8v4\n6rujlDlczL9ngHcxFoCSikrKHC7iIwIBCA44fcDLL3MSHWwlsySTdVnrKKgooKCigLWHV7EtbxfE\nRDGsxSD+MvhpIgIjqt0bFuiPaUJaoRtHpZsuCWHnsxsaPQU8EREREZEmID3XE/CSY6oHPD8/gwHt\nYli8LYvl3x2ja0I4u7OKefubdO4Z1s573fEhnHHhnvlwNquFMsepAa/S5aaw3InT/yATPvk/Cis8\n++X5G/4k+9l4KL+QXqOeI7XLhBrbeXzu3nf5nmerglc3CngiIiIiIk1ARl4ZAf5+xNWwYMnjV3dl\nbM9E+raJITokgDtmrOO1r7/nrkGtvXvZZRVWABBfFfCCAizYa6jgFZY7AVhb/CrB/sG8esWrJIcl\nE2oJxnihOyQOhNOEO4DQqoC3J99NgMWPds1Cf9yHNzGagyciIiIi0gQczCsjKSoIPz/jlHOJkUFc\n1T2B6BDPvLlxvVuSX+Zk/7FS7zVZVRW8+AhPwAsOqLmCl1/mwLDmcbRiP7d0voVuMd0ICwjDOLQW\nio9A9/FnbOfxYaF78ly0bx6K1aLIUhfqLRERERGRJiA9t+yUFTRPp0NzT9Vs79ES77GahmiW1xjw\nnPiH7gRgRPIIz8HSXPjst2ANgY5XnfHdYVVbMNhdGp55LhTwRERERESagOwiO/ERQbW6tk1sCH4G\n7Dsp4GUV2okMtmKzeoZsBp9miGZuSQXWiC0khbQlOTwZCjLgzVFwbDfc8CYEnnnI5cn756UmRZzh\nSqmJAp6IiIiISBPgqHR79687G5vVQnJ0MPuOFnuPZRXZq83fCzrNIitbczZhCcrgmrbj4NgeT7gr\nOQq3fQidzly9A7zvSIm1MPHS5Fq1V07QIisiIiIiIk1AhctNgH/t6zvtm4dWq+BlF9mJi6ge8H64\nTYLbdLMs623claFM7DQO3rkaXA64cxHEp9TqvRHBVnb+aRTrVq+sU3vFQz0mIiIiItLImaaJ0+VZ\nlbK22jcP40BOKZUuN+AZohkfHug9HxRwYg6eaZqkF6Xz7PpnOVKxHXfulURlfguZW2DkH2od7o4L\nDlAd6lyp50REREREGjmX28Q0qdOKlJ3jw3C6THZnFdM5PoyckgrvFglwvILnZPq66Xye9jlHy48C\nkGgZSEHlYIw1L0NoPPSYeN6/R05PAU9EREREpJFzVFXh6jLksX+7GABW7sshNjQQt8mJIZqOUq49\n+Axfhhu8s2sjI5JGMLDFQPrE92HaR7lEBWXB91/CwAfAP/AMb5HzTQFPRERERKSRc1aaQN0qeHHh\nNjrFhbFybw6XtfWEPW8Fb+mT+BUsJjcxnitC2/HcgD9j2DxbGhSUZTGGb8B0QcoN5/dD5Kw0B09E\nREREpJE7lwoewKAOsaxLyyM917PheVy4DbK24Vz3Gr9KaE24y48ndnyN8c9LYdt8ME1Ky8q4snwx\nNOsCcd3O+7fImSngiYiIiIg0ct6AZzHqdN+lraNxVLr5+rscAOIjbLDqRb4Oj+KwXwVHsm7FccPH\nEJ4A70+GmWP4TemztHAc8CyuIhecAp6IiIiISCPnrPQEvLoM0QRoGeXZGH3TwXysFoPotMWw/QM+\nSmxPmH80lcVdKIztBVOWwZjn4egOBrvWsSruVug8+rx/h5ydAp6IiIiISCPnPMchmi2jgjBwk5FT\nyDTbO/jNv4OcFj1Z4cihT+wVgIV9R4uxu4A+d2H+ag/dHW+ypt0D5/8jpFYU8EREREREGrmKc6ng\npa0i4p1RfBd4O0sDfs2NrkVw2b0s6vdTXKaLIfGeCt3/vbORf3/1PQBlLgsVppWQQK3l6CsKeCIi\nIiIijZy3glfbgLdrIcy6BqM8j2UBw3Bj8J/4JzBHPcVH+z+hR7MetIls4718Q3o+AKUVlQCEKuD5\njAKeiIiIiEgj56iswxDNkqOw8AFI6AF3r2Bu4qMMdzzPgYQB/Hblb9lXsI/r219PkNXivWXb4UJM\n06REAc/n1PMiIiIiIo2c01WLffBME3YugE8fgYoSuO5fYAsnMTII/7DtLCv6BEdhCff2vJfr21/P\nwTy799aCMieH8su9AU9DNH1HPS8iIiIi0sgdH6JpPd02CUWZnqrd3v9BQk+4ZS4074LD5WCv602C\nWi4lIrAd/7j8dTpFdwIgOMBS7RHbDhcSGWwFVMHzJQ3RFBERERFp5CrONkTzg59B2goY9RRM+QIS\ne2GaJk+sfoLdpUupyBnG73u96g13ALaThmj6+xlsO1xIaYULUMDzJfW8iIiIiEgjd8ZFVtJWesLd\nVc/AZfd4D7/33Xt8sv8TpnS/B0fOCPq1aVbttrBAf8b1bsHNfZN58uMdbD9cSMe4UABCAqtX9+TC\nUcATEREREWnkzrgP3qoXIaQ5XHKH99Ch4kM8u/5Z+if055e978EwTh3a6edn8PcbUwFIaRHBZzuy\nuLJrHAChNsUMX9EQTRERERGRRs5xun3wCg/DvqXQexJYg7yH/7XlXwD8ccAfawx3P9S9RQQFZU72\nZBcDGqLpSwp4IiIiIiKN3IlFVn7wz/8tc8B0Q69bvYcySzJZvH8x4zuMJyE0oVbPT2kRAcCa/Xn4\nGVTbQkEuLAU8EREREZFGzlG1TcIpQzR3LYSkfhDdFoCtx7Yy5fMpYMCkrpNq/fxO8WH4+xnsO1pC\nSKB/rap+Uj8U8EREREREGjnvRucnV/DK8iBzC7QbidPt5JXNrzDp00k43U5eu+K1WlfvwLOiZse4\nMEDDM31NvS8iIiIi0sjVuA9e2krAhLZDmb5uOvP2zOOattfw236/JSwgrM7vSGkRwc7MIgU8H1MF\nT0RERESkkXO63PgZ4H9yBe/AVxAQSlZkS97f+z4TOk7gqcFPnVO4A+je0jMPL0QBz6cU8ERERESk\nSSq2O/lsexamafq6KfXOUek+dYGV9G8gqR+zds8GE6akTPlR7zi+0IoqeL6lgCciIiIiTdKMVWn8\n3zsbWHsgDwCX2yQtp9THraofDpe7+vw7Rykc20V+fHfe3/s+o9uOJjE08Ue9o3PVQisKeL6l3hcR\nERGRJmnF3mMAvLL8e9bsz+W99Yc4XFDO25P7MrhDMx+37uxM0ySv1EFMaOBZr3W63NVX0MzaBqab\n2UYR9ko7k7tP/tHtsVktXN+rBSlVQzXFN1TBExEREZEmp9juZOPBAsIC/fn6u2O8uGwvbZuFEGS1\nsGRn9gVvT2G5k4HPfMEbKw/U+p6//W8Plz29jIIyx1mvPWWI5uGNlBoG7x5dy4jkEbSNbHsuzT61\nTRN6Mql/6/PyLDk3quCJiIiISIP2zfe5dEkIIzI4oNb3rNibg8tt8uyNPTlaZGd45+a0jApm8sxv\nWb7nGKZpXtC93B7/aDuHC8qZv+EQkwe1Oev1X+45yivLvwcgu6jirN/udJnVK3hHNvLfZokUO0t+\n9Nw7ubiogiciIiIiDVZ+qYNbX19Tp8rXd9nF/PaDbSRFBzGsUzNu69+allHBAAzr1IyDeWUcuIBz\n8UzT5NNtmQCE2c5ef8ksLOdX/93inetW+wpeVWAtOYprz6fMCQ2iX3w/usd2P/fGy0VHAU9ERERE\nGhxHpZs/LtzBR5sP4zZhd1Zxre99c+UBXG6Td6dcRqC/pdq5/u1iANh0sOC8tvc40zRZsz/Xuy8d\ngN3pptLtWckzp7jijPdXutz8cs4m7E4XT49LASC/zHnW9zpcJw3R/PIpVvubZJoOJnSacI5fIhcr\nDdEUERERkQZn0bYjzFiV5h12uDf7RMBLzy0lNNC/xsVHTNNkxd4cBrWPJSk6+JTzSdHB+BmQnlfG\nkZIjHKg4QOTRSAzDwGJYiA+JJ8YWc07DN03TZOq8zSzYfIR/3tKLMT08q1YW2z0BLcDix9EzBDzT\nNHly4Q6+TcvnhYmp9G4VBUBh+dkreE6Xm0B/Pzi6C/fGWbzVoSfRFpMRSSPq/B1ycVPAExEREZEG\nxTRNZq5KAzyVPPAEMrvTxcaD+dw181tGdonj5Vt6n3Lv/pxSDheUc+/wdjU+O9DfQnxMKR9n/ZEZ\n72/1HPz01Os6RHVgau+pDGk5pNbt3n64iAWbjwCwN7vEe7zIXglA22Yh7M4qpsxRSXDAqf9Mf2nZ\nPt5Zc5C7h7blul4tKK3w3FdQmwre8UVWPv89f49txhpnLo/2ehSrxVrr9kvDoIAnIiIiIg3GpoP5\nPLV4F1sOFTK4Qywr9uYQExJAbqmDd9ak8+zne7A73Ww7VFjtvnKHizUHcpmz9iAAQ06zDcKevD2U\nxv6NUhfc3eMXLFlrh4BwTNxguOiS5MTuLmZ30Soe+PIB/jTgTwxIHEBMUMxZ236sxO79ef9Jc/xK\nKqoHvJxiB8kx1f+ZfiCnlJe/3Mc1PRN59KrOAAQHWLBaDArKTx/w3l17kKGdmuF0uent3MTso98w\nKyaamzvfzC2dbzlrm6XhUcATERERkYteRaWLh9/bysdbjhAbGsi067tzXWoLbn19LWN6JPCXRbv4\ny6JddIwLZVD7Zry56gBFdicb0vKZ9U0aq7/PxVHpGaZ4a7/kGodnZpdm88jXj2D1s1GZ8QsOhXVl\nS3oGvZM9QzRzSyqY910ZAMmxPWjd4XV+t/J3AMQFxzG45WB+dcmvCA0IrfEbiso9QS45Opj9x05U\n8I4P0Wwb67lv4dYjDO4QS4+Wkd5r/rNiP/4Wg99f3cU7PNQwDCKCAk5bwTtWXMHvPtxGSICF9nFh\ntHW+zlMx0QxvOZRHLn3kgq4SKheOAp6IiIiIXPSW7znGx1uOMGVQG6Ze0dG7guRHvxiIo9LNs5/v\noVV0CLN/1o9thwt5c9UB7prxLevT82kRGcRP+7ViWKdm9G0Tjc1afWGVPHseb2x7g7m752JiMjru\ncd7ZGcjcbzMY3cbKK3cPBMDudPHYh9t5f+MhDuXCB/e8zYHiXezM3cn2nO18sPcDNmZvZMZVM4i2\nRZ/yDUVVQa5XciSf78jG7Tbx8zMoOWmIJnj2t3tx2V5en9SHIR09lca92cV0bxFB83DbiQe6Kmll\nKzvtHLz03FLApNThoujoNl5o7aB7UDzTh/4Ni5+lxnuk4VPAExEREZGLXmZBOQB3D23nDXfHBfj7\n8eG9A2kRFUS4zUq3hHAA1qfnM65XC54Z36P6HnAn2ZC9gXuX3ovdZeeattdwT+o9bEuz8A4bABjb\n7sQcNZvVwnOjE7k7aj2zlm9nz54kBva+lEvjLwVgfOZ47lt2H7d/ejs3dLyBEckjaBna0lspK6yq\ntKUmRbJg8xGyiuwkRgZR7A14Jyp/wQEWpry13hvy9h8r5YquceAshz2fwnefwXf/4317ASsOjaQs\n928ERbfF4XaQb88n357Ph3tXE9LhdTAtOF0m5YbBX/o+RpB/0I/++5CLlwKeiIiIiFz0sooqsFoM\nYkJq3tC7S1WoA2gWdmL1zEdHdz5tuHO6nfz5mz8TZYvilctfoW1EWwBKYj0rcl7XyUabo0vgs88h\nPx3y9sOx3XTEZJoVcj5fBqmboKoadlnCZbw0/CWe3/g8z65/lmfXP0u0LZpuMd3o1bwXeeWXEmS1\n0Ck+DID9x0pJjAzyVvZanTRsdOF9g/j52xv42Vvr+fuNqeSV2rnStRz+cRMUHYagaOj0Ez5OK2Wd\ndTX3fnIdoX6BlLirr8IZ5GxGgmEhPTCLa0rdtG09vC7dLg2QAp6IiIiIXPSyi+w0D7Ph53f2eWOG\nYfDbn3QmONCf5mG20143d/dcvi/8npeGv+QNdzjL6fT9DNa2W0HzQ8sxXA6wBkNkK4hqBd3HQYcr\neP7dhTxY8hysfxNSb4UATzgb0GIAA1oM4GDRQVYfWc32nO3syN3Bik0riPRrT3BML8JCO+BnwNoD\nuQzqEOtdZCW8YCe3WJYx1G8LSfOe5hM/B0cCSjg6P4QlASW033kEElIpHv1X1tkCWZ25hg+LFuM0\ng7nRFYRRdJQYl4tYl4sovyACnBYGlG3AH8j382NbxNWgeXeNngKeiIiIiFz0sovsxIWfuq/d6dw9\ntOZtEI7LLc/llc2vMLDFQIYlDfMczNkLH/8SDq4mLiIJLrmT9a7O9Blz5ynBaGOEnQP2D2mz+New\n+GGITIbOV8OV08DPj+TwZJLDk73X/y/tfzzy1R9wRe3jls/eI75jCh/svoxfjGhFsb2SEQE7Md+Y\nxJ+tlZjBcRDZB4vFHwIdcGgf+YSSdfk/WRJl8ty6x3GZLoL9g2ke0J2M7wfw+0duZf2nb/L+2n2U\nUEzrRBcV9mPMiJhIyz5jmPXp19hie1D7TR2koVLAExEREZGLXlaRnc5VQxvPh5c2vYS90u5ZTfLQ\nt7DqRdi9CPwDYfwbkHIDACXLl9dY9Qq2WXk4eBrzRzng2B44sgnWvOIZOjn0YQrKHOw8UsSA9rEA\njGo9illLwyiuzOaaHjuYufcjiiK2MWTO2ySYHenZbC1DwhIp8/MjNqgZ0bZKIgJDCI6N5fOSOFzl\nSfwuEp7f8BwDEwdyV/e76NmsJ/9ensZzW77DYQSwJvQK5rhacXPfJCasy8DPgAkdkhjeqS1rFuUQ\nkmWet/6Ti5cCnoiIiIhc9LIL7QztWPPedXW17dg2Ptz7Ibd3u50236+Ej+8DWyQM+TX0/TmENj/r\nM0IC/NnhtEG30Z4Dpgkf/AyWP0Vh0jBuXFDGd9klvDulnzfkFZe7mWBuZNLnL3EnsC7IxuchwXwZ\nXMpnoTYGJPanXbMUskuzya/Ip7CikKzSLPxjDuKPm+c2QNeYrvxt6N8IsXpW3IysmpNYWO7kcIGd\nmJAA/nJdCkXllSzalklyTDBtYz3X/vSyVuel/+TipoAnIiIiIhe1YruTUoeL+PDTz6errWNlx3j4\n64dpFtyMu9uNg1eHQquBcMt/IbDm/etqEhLoT5nDdeKAYcDov8H+rwh8dxzvOiHUZufYu80x23TC\niO3AmKJSJjnfho4/wTrmeRbNXk5I/i5+5TjKUssQXriz5o3HMwqPcSD/IMlRMbQKb1Vt/7qWkZ4V\nMT/ZeoTDBeUkRgZh8TN47saedIgL5drURPz8DPY/NbpW8xel4VPAExEREZGLWnaRHYD4iHMLeA6X\ng68OfcXC7xey4vAK/PBj5lUzCf3yaXCUwZgX6hTuAIIDLd7FUbyComDcqxxY+Dzb8gO4pH1Ldu/Z\nSUhOJtHpq7i70s7esMvocOMs8A+kZ5+BPPJ+OGEV/qQmR9b8IiApohlJETVXL4d2bMbIzs15evFu\nDAOGd/JUH21WC1Mv7+i9TuGu6ah5zVgRERERkYtEVqFn6f+4c6jgVbgqmPL5FB5a/hDbcrZxc+eb\nmTdmHinFebB1HgyaCs06nv1BPxAa4I+j0o3T5Qbg7W/SeOi/m6HdCF5P/AsvBv2Ctre+wOsJT3JV\n2Z8pvXcTj1T+nEVd/uqZ5weM6haPv59BcUUl4TbrGd52en5+Bn+8thsOl5uKSjctorTHXVOngCci\nIiIiF7VD+WUAtIise3h5eu3TbDq6iT8O+CNLbljCby79De3DkmDRQxDVBgb/6pzaFFy12XpZhWeY\n5vsbD7NoayamaVJY7iTM5o9hGDx+dVeOFlfw/OoC5lUOIzj0RKUwMjiAwR088/N+uHl7XbSMCvb2\nzbn0kTQuCngiIiIiclHbn1NKgL8fiXUML1uPbeX9ve9zZ7c7GddhHP5+VSFq5QuQuw+ufg6s5xaI\nQgM9m5uXOiqpqHSx80gRFZVu8kodFNmdRAR5KnKXtIpiTI8EXl95AOCUSt2YHokAhNl+3Myp7i08\nG72HVLVLmi4FPBERERG5qO0/VkrrmGAsdZhH5jbdTF83nWZBzbi7590nThzdBSueg+7jof3Ic25T\ncIAnkJVWVLIrsxhH1VDNzEI7ReVOwoNOBLnfjOrs/fnk4wBXdIsjzOb/o4dW/uGabgxqH8uIznE/\n6jnS8GmRFRERERG5qB3IKaF987otgrJo/yK25mxl2qBpni0F8vZ7Kneb34WAEBj11I9q0/EhlaUO\nF1syCrzHjxSUU1R+ooIHkBwTTPvmoew7WoLNWr2+Em6zsuI3w3/UEE3wDM18Z0q/H/UMaRxUwRMR\nERGRi1aly83BvDLaNqtbwHtz+5t0jenKmLZjYMXf4R+XwJa5cMkd8H8rISz+R7UrJPBEBW9zRgHB\nAZ6hkUcKyiksd54yFPOtu/pyTc9ELmkVfcqzIoMD8Lfon+Vyfui/JBERERG5aB0uKMfpMmlTtVl3\nbeSU57CvYB9Xtb4Kv8Mb4Ys/Q6fRMHUrXP0sRCb96HYdD3QlVQFvQLtYAvz9yMgvp9ThqlbBA0iM\nDOIfN/c65bjI+aaAJyIiIiIXrf05pQC0rUPAW5e5DoC+zS+Bj38JYYlw3b9+dNXuZMeHVB4pKOdA\nTim9kiNJjLCxJ6sYgPAgzYQS31DAExEREZGL1oFjnoBXlwreuqx1hAWE0Xn/Kji6A656Gmzh57Vd\nwVWrVa7+PheAXkmRJEQEsTurCECVOvEZBTwRERERuWgdyCkl3OZPdEhAra4/WHSQJelL6BubimX5\n09B2GHS55ry363gFb83+XAwDUlpGkBgZRE6JAzh1OwSRC0UBT0REREQuWvtzSmjTLBTDOPsWCfn2\nfO5Zeg9+hh8PlTjAUQo/+SvU4t66CrJaMAwotlfSvlkoYTYrHeJOLAQTEayAJ76hgCciIiIiPnG0\n2M7Ti3cxZ93B015z4FhprebfVbgqeODLB8gqzeIfKfeRvGU+9L0bmnU6n032MgyDkKq98FKTIgHo\nnRzlPa8KnviKZn+KiIiIyAW39VABd838lpwSB7GhgdzcN5n8UgeH8stJaRkBQLnDxZFCe63m3z2x\n+gk2Hd3Ec30fJ/XLFyAkFoY9Uq/fEBxgoaSiktRkT8DrUdVu0Bw88R1V8ERERETkgvpy91Fuem0N\nNquFge1jqHC6APj7ku+45p8rue2NtezKLCItt3YLrGSXZrNo/yImtxrNlYt+DwUH4fp/gy3ijPf9\nWMfn4R2v4NmsFu85raIpvqKAJyIiIiIXzPsbDjHlrfW0iQ3hg3sHMKh9M4orKimtqOT7YyXEhgaw\n9VAho19awSPvbwXOHvC+yfwGgNFr3gZ/G0xeAu0vr/dvCQn0x2b1o1NcmPfY8Z+DTgp7IheS/teC\niIiIiFwwz3y2m5QWEbwzpR+hgf4kRNgAyCqyk5FfxoB2sfzp2m7884t9fLo9i9SkSNo3Dz3jM1en\nLyO20kWHuJ4wcTYER1+ITyEhwkZksBV/y4mayXv39OdwfnmtFoURqQ8KeCIiIiJyQbjdJrklFUzs\nk+Qd3hgX7gl4RwrKySywM7ZnEJHBATw+piuPj+l69meabtYc+YbB5XaMW165YOEO4Lkbe2L+4Fi4\nzUp4gubfie8o4ImIiIjIBVFkd+I2IeqkPe3iqyp4mw8WUOk2SYoKrtMzdx/bQb67gv4R7SG6zXlt\n79mEaaVMuQhpDp6IiIiIXBB5pZ5NwKNDTgSj+KoK3rfp+QC0rGPAW737vwBcljLpfDRRpMFTwBMR\nERGRCyK/zBPwooJPVPCCAv6fvfuOb6u8Gjj+u9ry3nskjrOnMxzIZq+yywgbyiqUWfq2lPal7ELL\nKC3w0gZoWQUKzQBCgEBCJtk7ceLEcby3LQ9t6b5/XEm2bMnbTpw838/HH5ur9VyJJPf4nOccNREG\nDVsL6wBIjzH26Dk3lKxljN1B3NjL+m+hgjCEDWiAJ0lSoSRJeyRJ2ilJ0lbPsT9IklTqObZTkqQL\nB3INgiAIgiAIwomhrsUBQEybEk1QyjTNdhcqCVKiuh/gme0t7LDXcro+EfSdN2IRhFPFYOzBO0OW\n5Zp2x16WZfnPg/DagiAIgiAIwgmivqVjBg8gPlzPocpm0qJD0Kq7n3/YeWgpTglOyzijX9cpCEOZ\naLIiCIIgCIIgDIo6s3cPnn+Ad8+CbHLSo7ksJ6VHz7f58DI0ssyUybf01xIFYcgb6D14MrBSkqRt\nkiTd2eb4fZIk7ZYk6W1JkqIHeA2CIAiCIJzCXG6ZX3+6mw1H2hcUCYOtvsWOTqMiROc/BHx2dhyP\nnDea7ITwII8MbEt9HhPQERI9rB9XKQhDmyTL7ad39OOTS1KqLMulkiQlAN8C9wEHgRqU4O8pIFmW\n5dsCPPZO4E6AxMTEaR999FGH529ubiYsTNRbDzbxvh9f4v0/vsT7f/yI9/74GervfVGji//dYAXg\n2TlGUsKGVo+5of7+t/XWHht7a1y8fEbPOmUG4raU8XDls1whDWNe5iN9X1wQJ9P7P9SI997fGWec\nsZpDLTQAACAASURBVE2W5eld3W9ASzRlWS71fK+SJGkxkCvL8hrv7ZIk/QP4Ishj/w78HWD69Ony\nggULOtxn9erVBDouDCzxvh9f4v0/vsT7f/yI9/74Gerv/fs/HgP2AlCmTeW6BaOP74J6aKi//229\nf2wLSW4rCxbM7fNzrVnzJC5J4tzpN3Da+AV9X1wQJ9P7P9SI9753BuxXWJIkhUqSFO79GTgX2CtJ\nUnKbu12O929cQRAEQRCEAbD9WD1xYXpiQ3W+PWDC4DvrxdWsPFDlNwOvL7aUrEMry0wZeUm/PJ8g\nnCwGMoOXCCyWJMn7Oh/KsrxCkqT3JEmaglKiWQjcNYBrEARBEAThFLe9qJ5pmVEcqW6hQQR4x4Us\nyxypbgGUPZH98IRsNpcySR+JQdf3ck9BOJkMWIAny3IBMDnA8RsH6jUFQRAEob8cqmwiLkzfoduf\nMLTUNNsorDWzMDeDuhY7dS0iwDsenG2CujB93y8/63b/mzyNxF1xE/v8XIJwshlau4wFQRAEYZCc\n+/Iaznnph+O9DKGPdhQ1ADAtM5qoEB0NZsdxXtGpyeFyA3D++CSeu2JS356sroA/bXgCFRLn5T7Y\nD6sThJOLCPAEQRAEoR2rwwVAbYudgew2LQy8bcfq0aolJqRGEhOiExm848ThUv4czRgeQ3y4vg9P\nZOWHT6/jixAdt49eyIjYsf20QkE4eYgATxAEQRDaqW6y+X4+WtNyHFci9NX2onrGp0Ri0KqJCtXS\nYHaIoP048GbwtGqpT89jWv4wT6pNjAxJ4s7cX/XH0gThpCMCPEEQBEFop7LR6vt5Y0HtcVyJ0BcO\nl5vdJQ1MzYgGICZEh93lxmx3HeeVnXqcngyeVt2HS89jG/lT8VfUarQ8deYraNX9041TEE42IsAT\nBEEQhHYqG1szeNuPNRzHlQh9caC8EavDzbRMJcCLDlEa5ogyzcHnzeBpVL3P4O098ClLw8O4beyN\njI8d319LE4STjgjwBEEQBKEdbwYvPcZIbYuti3sLJ6ptx+oBmJoZBUBUiJLxqRejEgadN8DTaXp/\n6bm5YjMAN0z6Wb+sSRBOViLAEwRBEE5qLreMqYedEyubrOg0KobFhlIvui4OWduO1ZMSaSA50gjg\nG3lxyd/W8/K3h47n0k453iYrGlUvLz2ddvZZKkhVGYkxxPTjygTh5CMCPEEQBOGk9u/NRcz70ypf\nZ8zuqGq0kRih97TVF9meoWpHUQM5nvJMgKiQ1pmGf19TcDyWdMrylWj2tslK+U72aTWMjxzRj6sS\nhJOTCPAEQRCEk1pRnRmTxUFJvbnbj6kwWUkMNxAdohVz04aoCpOV0gYL0zJaA7y2Q+sXjI4/Hss6\nZflKNHvZZKXu0HJKtRompM3pz2UJwklJBHiCIAjCSc1bnnm0pvsBXmWTlcQIA1EhOhqtDlxu0Vb/\neMmraORAeWOPH7ezWGmOMyUjyncs0tjadTFUr+n74oRuc3r+DPU2g7fv6LcATEjJ7bc1CcLJSgR4\ngiAIwpCyqaCWY7Xdn01nsigBXncfU91ko7TeQlKkksGT5dbnEAbfLz7cwU/+uo5Fawt6NL9uV0kD\nGpXEuOQI3zG1SuL+s0YCiKB9kDmc3jl4vbj0bK5mb3MxEjA2Rgw2F4SuiABPEARBGDKcLjc3vLWJ\ns178gceX7qWmuesOl97grLsDy/+wbB+yDAtz031t9UXXxePD6nBRUN1MpFHL018e4N4Pt9Nk7V6w\nvau4gbHJERi0ar/jD58ziqy4UF9GSRgcDrd3Dl4vMniHV7JPr2NYaAphurB+XpkgnHxEgCcIgiAM\nGVanG4dLJjM2hPc3FTH/hVU88fm+TrNzrRm8jiWaJrODK15fz95SEwAr9pbz5Z5yHjh7JNkJ4b62\n+qLRyvGRX9mMW4anL5vAYxeO5et9ldz37x1dPs7tltlTYmJyemTA29UqCZfb3d/LFTrRlwyefOhr\n9hoMTEic2t/LEoSTkgjwBEEQhCHD2wnz5lnD+OaheSwYncB7G4/x/Iq8oI9p9GR8CgMEgTuK69le\n1MBt/9xCg9nO75bsY3xKBHfOywJaB2PXt4gSzePhQIWy925MUjh3zMvi8pxU8sqbOn1Mg9nOfR/t\noMnmZFJaVMD7qFUSTpfI4A0mp9s76LyHl54uJ5WFq6hVSYyPmzAAKxOEk48I8ARBEIQhwxvgGTRq\nRsSH8dr1U5mWGU1NU/AMmzeDV9Zgweb0H5VQ1aiUeFY12XjkP7toMNt54aeTfFkGXwZP7ME7Lg5W\nNGHQqsiMDQWULpgNls6zqZuP1vHl7nLmj4rnrDEJAe+jUUtiD94g887B02l6WKJZspl9KH9OJ4gA\nTxC6RQR4giAIwpBhdShZAL229Z+vmFBd0D1yLrdMk9VJTKgOtwyNFqff7W1HJ6w8UMW9Z2QzPqW1\nrM87N02UaB4feRWNjE4MR61SgoJIoxarw93pTMPaFuWz+uOVE4kN0we8j1qlEnvwBplvDl5PM3gH\nvmC3wYhGpWFMzJgBWJkgnHxEj2BBEARhyPBl8No0zogK0VEfZFadtyFHYoSBuhZ7h8CgpMFCSqSB\n//x8FjaHi6x4/wYOEQYNapUkmqwcB2a7k+3HGrhqeprvmDejarI4OjRP8ar1NN5pO/OuPbUkumgO\nNm9JrFbTgwDP7YZ9i9kdn8DYmBHo1YEDdkEQ/IkMniAIgjBkBArwlGHk9oAt9L3lmUkRyoWhpX2A\nV28hNdpIapSxQ3AHIEkSkaE2ihtqcYuAYFCtyqvG4nBxwYRk37EooxK0rTxQyaK1BQEfV9NsJ9yg\nQa8JHAACSCoLTrcz6O1C/7N7MnhaVQ9KNIs24mwqY5/kYFL8pAFamSCcfESAJwiCIAwZ3hJNg8a/\nRNPplmmydbxg95ZkJkUaALDY/QO80noLadEhQV+voKEAV8oLfG+5hwXvL+Sfe//JofpDPZrHJvTO\nl3vKiAvTkzs8xnfMO6j8/344wgtfHwz4OdQ024gPUpoJcMxUyDH9r2iUXun/RQtBOV097KLZXAXL\nfsHh8FgsbgeT4kSAJwjdJQI8QRAEYcgIVqIJUN/SsYzSm8FLjPAEeG0yeE6Xm4pGK6lRxoCvlVeX\nx8+++RnhBh0ZrlmYbFW8uO1Frlx2JZcuvZTN5Zv756SEDmRZZm1+DWePTfDtv4PWEs3iOgt2pztg\nUF/bbCc2LHB5ptVp5ZfLb8amclKizaPAFDgLKPQ/b5MVTXfm4FlN8P4V0FTB7tl3A4gMniD0gAjw\nBEEQhCHD6umCadT5l2gCAffhtZZoKgFe2z145SYrLrdMWnTHAO9g3UFu+/o2NLYW3i0rZXnxh+wo\n2c7ilmj+EHc6ToeF27+5nX/s/kf/nZzgU2ay0mR1Mj7Vf46dN4PnVd3UcdB9bYuN2NDAGbw/rriD\ng/Y6nqmuRS/L3LriVl7a+hKFpsJ+W7sQmMPdzQye3QwfXgtVeXDNe+xymogxxJAaljoIqxSEk4MI\n8ARBEIQho7VEs02A52mmsfZQNbuKG/zu3z6D1zbAK22wAPiVaJY1l/Hi1he5ZcUtGGWJfx07TFby\ndCxn/5FXXVcQ1mLnyi0f89n+LZytjuKvO/5KaXPpAJzpqS2vXJl/NzYp3O+4N4PnVRMgwKsJksHb\nWbiKz2p3cisRoLmCf1RUMiV2PO/uf5eLl1zMi1tf7MczENpzOD1NVroK8FY/C0Ub4Yo3Iftsdlfv\nZnL8ZCSph+MVBOEUJgI8QRAE4YTmcss8t/wASw7bqTApQZmhzZgE7zDyF789xKWvrfd7rDfASwjQ\nZKWkXnmu1GgjNpeNX6/5NRf89wLe2/8ec1Jm8U5tEynRo+Ca9zDO+Tk/pPyMu0NehIfzMObeza+O\n7gVgcf7iATrzU1dehTLMfFS7AC9Mr/Er2axu9g/wnC439WZ7h/EITreTv2x6lhiXi7vPe4MC4wSm\n2Oz8ZcS1rLxqJedknsMHBz7AZDMN0BkJTrcbScLv8wso70sYeQ5MuBKTzURhY6EozxSEHhIBniAI\ngnBCK6hu5s01BSw57ODTbSUA6LUdSzTbq2uxs3RnKZFGra9lvsXu9t1e6gnwUqIMvLr9VZYfXc6N\nY29kxZUr+FP8HDJqj8GZvwO18vxzs+PYXdKASRMH5z5FckQ6s10a/pv/X1ocLQNy7qeqvIom0qKN\nRBj8P1tJkohqU6bZPoNXb3YgyxDXJoNX3FTMzV/dxFZrBfdKsYQkTaLcMEq5sXwXccY47ph4Bw63\ng6+OfjVwJ3WKs7vcXWfv6gqUr+yzAdhdvRuAyfGTB3p5gnBSEQGeIAiCcEJrsLTuratotAL+Gbz2\nQYDXX7/P50h1M3+7LocQrTL21T+DZyYxQs+Buj28u/9drhl9DY/MeIQkcyP88CeIyYLRF/juP2dk\nPG4ZNhbUKEHftFu4s7KYWkstz256tt87a1Y1WdlaWNevzzlU5JU3MqZd9s4rsk1AX9Ps31intkUJ\n+OI8GbwvCr7gqmVXcbRmHy9U1XD16b8BwKyLpkxKhF0fg9PGmJgxjIweyRcFXwzE6Qgoc/C6HJFw\n+Dvle/bZyLLMJwc/waA2MD52/MAvUBBOIiLAEwRBEE5oDW2ap1gdSpmXrk0mQBXkonFfWSOT0qKY\nOzIeg07lebz/HryUKD3PbnqWhJAEHk6/AP5zC7yWq2QRzv4DqFozhTkZUYTq1KzNr2HVwSqW1KSS\nY7Nze+qZLDuyjIdXP0yTvanfzvutdUe55u8/Ulxn7rfnPB72lJj4zWe7ezRHsKzBQkZMaMDbvI1W\n1CqpQ5OVWk/AFxuqY23JWh5d+yijnS4+LS7hgjOfgzEXAaBRSfxVeytU7oHvnkSSJM7JPIfd1bup\ntdT25jSFLjhc7q6HnB/5HqIyISaLLwq+YHXJau7LuY8QbfBRJoIgdCQCPEEQBOGE1mD2z9IYNOqg\nDRe8gZ8sy+RXNjEqMcx3XCX5z8ErqbegitjMgboD/Cr9AkLeOhfyV8Kch+ChvTDuUr/n1qpVnJYV\ny7rDNdz6zhZ++6MaJBW/UMXxyPRHWFW8ioVfLiS/Pr9fzttid+Fyy/zfD0f65fmOl8teX89HW4r9\nMrGdcbtlWuwuwgyagLdHGbVIEoyID6Wm3R48bzAcG6bixa1/JgMNi47mk3LRqzDtFt/91CqJNaqZ\nMOMO2Pg3yF/J/LT5yMisK13XuxMVOuVwyWhUnVx2Ou1wdA1kn02VpZrnNj9HTkIO14+9fvAWKQgn\nCRHgCYIgCCc0b6OUKL0S1LUdkeB1RY7SQt3ucmN3uqlutlFvdjAqUSnzkyQJo1btK9F0uWXKW8oo\ndH/KjJjxnLfqVYgbBQ/uhrMfh9C4gGuZMzKOY7VKEGHGgBw/Bql0GzePv5m3znuLFkcL1y+/nqLG\noj6ft3du2H+2llBhsvb5+Y4Xlydz1xJgZl0gLXblfuH6wAFebJiexHADyZHGDk1W8iqaCAkv5d41\n13LEVMAjleVoL3sdcvyDBI1Kwul2w7lPQcI4WHI3Y7UxxBvjWVOypqenKHSD0+VG19kMvOJNYG9G\nHnEmT258ErvLzpOznkSt6vjnXRCEzokATxAEQTihNZgdqFUSMQbl4tAQoMzrpWum8PjF4wAlkMiv\nbAbwBXhu2Y0+tIwSyz4+OfgJ/7vuKXTpryFJbh4r3I+k0cF1H0NITKdrmTvSP/BzJk+D0m3gdjMt\ncRofXvghsizz5u43+3zeTpebEJ0alyzzj7VDcyC3q01ZZnN3AzybEoSHBgnwHjhrJG/cMJX4cH2H\nEs1NVd+jSf0/JNnNoqoGzsg8G6Zc1+E51CpJWZvWCD99G2xNSN/8llkps9hUsanf91MKSommprMm\nK4dXgkrDV2obP5T8wP059zMsctigrU8QTiYiwBMEQRBOaA0WO5FGLSFaT4CnDfwbfW9A0GxzctDb\nZt8T4D3z4zM4kl5mg/lJnvrxKb4p+hK3PY5XpLGMqCuGaz6AqIwu1zIiPsw3NB2gJXE6WBug+gAA\nyWHJXD36ar4o+KLP8/EcLjdxYXounZLCB5uOUdvccebbie5oTWt30e5m8JptSsY2VB/4c06PCSEn\nI5rshDDKTVbu+vfXvL79LW766iZKtH8nSjOcD93xzLTZ4bxnAz6HksHzBHEJY2HClVDwA1PiJ2Oy\nmShq6nsGVvDncMtoO8vgHf4O0k/jy+LvSQ9PF6WZgtAHIsATBEEQTmgNZgdRRi0hnoSOPkiAF+YJ\n8FrsTvKrmogO0RIXpmN96Xo+OfQJpzWHM427WHHlCm5OeZ9ZJdOZfXiJsg8rY2a31iJJEpfmpPj+\nuzbe87ija33Hrhl9DW7ZzdqSte0f3iPeC+J7FmRjc7p5a93RPj3f8bCvrHWuXHczeM2eDF54kD14\nXrfNHs7sGZvYYH+EN/a8wrG6OmxV5/DriCuIOfAlzP1l0KBdrVLhcrXJ0qXkgLmGycYkoLU9v9A/\nyk0WbA5X8DEJTRVQuQd5xJnsrt7NtMRpojRTEPpABHiCIAjCCc1kcRAZoiVE483gBf6ny5vBa7E5\nOVTZzMjEcFyyixc2P88wF7xWvY+Xi14i9d2fsnDd+fxd9zJSSg6c9fserefRC8by7m25ANRrE5Wu\nf4WtwVx6eDqpYalsKNvQm9P1cXrmhmUnhHHhxGTe3XjMrwvoUHC4qtn3c/dLNJX7heo6D/C+OLqE\n3c2LOTP1IsY4nuPYnp/jrp3PmUdeguhhMOv+oI/VqNtk8EAJ8ICs5jpCtaHsqt7VrbUKXdtaWMec\n51ex8kBV8ADvyPcAFKdOoMHWIAabC0IfiQBPEARBOKF5M3hGb4mmJlgGTznebHNxqKKJ0YnhLD28\nlILGozxYU83isBsp1AzHFTWcVc4JbEi+CW5cDPrA89Y6E+Fp1d9odcCwuVC4DmxKMCNJEqennM6W\nii043N3rHBmI0yWj8ZS0zR4RR7PN6Ws4M1TUtrR2QA1WoulwubE5WwNXbyAYbA8egNlh5tXtrzI1\nMpuXtDF8Mmwbq8avYHXU0xhNh+H8P4LWEPTxKkny2x9I4niQ1KjLdzEhboLI4PWTZpuThz7Z6Xuv\nNcFKNI98D6EJ7JaV/18mxYkATxD6QgR4giAIQq+V1A/8jLYGi52oEJ2vRLOrDN7hqmaabE6Gx2t4\nfedrTHbCmfE5LI+5iT+EP8GPua/yiP1OnPMfA2NUr9YU4SkfbLQ4lSYetkZYcje43QDMSplFs6OZ\nLRVbevX8oJRoetvKe8+57ZiHoaCu2U5CuDJ03Ft62VZVo5WcJ79lzO9X8M2+CuV+Vk8XzU5KND9a\n/xS11loePLAO9apnkNb/heElS0gLccFP3/EbUB+Ir4uml9aodNMs28Hk+Mkcqj+E2TG05w+eCJ76\nfD8l9RY0nlmVQTN4JVsg83R21ezGqDGSHZU9iKsUhJOPCPAEQRCEXtlf1sic51ex4XDNgL5Og9lB\npFGLURN8TAK0lvTtKKpHpS/nu7qXqLJU83BVJdLUW3xjEtYfrkGjksgd3nnHzM6EG5QMXpPVAcNm\nw7lPw4HP4YfnAZiXNo9YQyz/3PvPXr+GUqLp31jG6hxiAZ7ZTnqMMqTaG7i1tSa/hmabEwn4aq8S\n4HnHJATL4DWZinj76OfMcarIufCv8GgJPF4HjxbD/dthwhVdrkutknDL+HfLTJkCZTuZHDcJl+xi\nf+3+Hp6tAMocw5X7K1m6s5SPtxZz9/wRJEcp2dSATVYs9VBfCMlT2FW9i4lxE8X+O0HoIxHgCYIg\nCL2SX6V0qlyTP3ABntPlpsnqJCqkTRfNoCWaGlT6CtY3PU9o1l/IN+3kfquaqepwGHcJRp0nwDtS\ny5T0qE5LALvizS41eoOW0+6BKdfDD3+EfUvQq/XcOO5GNpZv7HWg4HC5O2TwrA53Zw854dS1KBk8\ng1blC9xAKdd8fkUeK/ZWEB2i5aJJKazNr0GWZV+JZligz8dSzwdLbsCkkvjFnKdg8rW9KrH1ZpT8\nyjRTpoCljonaaACxD6+XVh6o5PZ3t/LARzsZmxzBQ2ePIsqoA4Jk8MqV99mcOJZD9YeYHD95MJcr\nCCclEeAJgiAIvVLuGb69+WjtgL2GN4DqThfNlvJ1RGS8gUtTwNyGRL4treSOyhK4+l3QGjFo1dQ1\n29lT0sCs7MCDzLvLoFWj16ho9O6JkyT4ycuQlgtLfg6mUq4efTUGtYFPD33aq9dwtNmD5w1qh1qT\nlfoWO9GhOsL0Gr8mK8v3lPPG6iOsPFDJaVmxzBsZR02zjbyKJpqtTtQqCX37eYdVB3D84ww+ctUw\nNzyL8aMv6fW61J73NVCjlei6o2RGZIp9eL20zpPRP2N0PH9dOAWdRkVUiJLx9v7Cwo8nwNun0+GS\nXUxJmDJoaxWEk5UI8ARBEIReKWuwALC7xDRge8PqPE06okJ0bebgdfynS26s4A/f34teZWFJRQGv\n1u8gMutMuG2FUkIJGLVqWuwu3DLMHhHb57WFG7StGTwAjR6u+Ds4LLDjfcJ14Zw77Fy+OvpVr/Zz\nOd1udJ6MhzeoHUoBntstU2+2E+sJ8No2WVl9sNr382lZscwdGQ/A2vxqWmxOwvQaJKlNOd+BL2DR\n2XyHhVq1moW5j/RpbQEzeIkTQKX17cPbWrmVOmtdn17nVLThSC3zR8Xzzq25ZCco2dVIT1OigCWa\nZTsgKoOdjQUAIoMnCP1ABHiCIAhCr5Q1KBk8p1tmR1F9n5/P72LbY8XecgAmpEb69uB1GHTudrNx\n2c/YpNcwsX4kH5qv4ZVJS+CqdyBtuu9uRp3yT55RqyYnI7rP640wapQumm3FDIesBbDjPXC7uHLk\nlTQ7mnlp20v++726oW0XzaFYommyOHDLEB2iI1Sv8e3Bc7jcrMmv5pLJKTx09igum5JKUqSBkQlh\nrM2vodnm8i/P3Pg6fHw99XHZvJKcTkZ4BrNTZ/dpbWpPJskvg6fRK0PPy3Zw47gbsTqt/Hbtb3HL\nQ+c9P94qG60crmpmdrb/L1BaA7x2l50NxZC3HLIWsKt6F8MjhxOpjxyk1QrCyUsEeIIgCEKvlJss\nTM+MRiXBpqM9z3SY7U7MdictNicPfbyTqU9965ehsjvdvPfjMeaOjCM7Iay1i2a7PXi275/gT5bD\npGjC2W+/h0Wui0hNy+zwekZPYDhjeAy69uV/vRBu0LaWaLaVcwOYiqF4M1MTp3LL+Fv4+ODHvLL9\nlR4FeQ6XG426NSgF/MYJnOi8IxJiwzwBnieDt/FILU1WJxdMSOKBs0cS6SnfmzMyjs1H66hrsRHq\nGXmBwwKrnsUx4iweSs+kxtbAH+f+EZXUt88vYAYPIHkSVOxlTMwYfp37a9aXrWfRnkV9eq1TyZZC\n5e+B07P8S6BbSzTbZfBWPQuAPPdX7KzeyZR4UZ4pCP2h9zvMBUEQhFNaucnK+ROSsDpdbO5hgPen\nr/N4bdWRDsdLGyyMiA8D4Ku95VQ22vjjlcpMrDCtsi8rLlzX+gCriVfy3udweAivzfsjz3wK4GBU\nYliH5/Zm/vqjPBOUUQlNATpDMuJM5fuxdZB5Og9PexiL08Lbe98mRBPCXZPv6tbzO1wyWpV/1nIo\njUmoNysBXnSIUqJZ1aRkfN9YfYT4cD1njEnwu/+8kfG8s76QHwvqGJvsaZyS/w2yvYln4uPZVrmB\n5+c+z8T4iX1em1rl3YPXLjsXPxZ2vA8tNVw16iq2Vm7ltZ2vkZOQw4ykGX1+3ZPdnhITOrWK0Un+\njW+8TVZsrjbvd8Ue2PVvmHUfhSoXJptJ7L8ThH4iMniCIAhCj1nsLupa7KREGsgdFsv2onrszu6X\nsn29r5KxyRE8esEYHr1gDDeclgFApadxiyzLvL3uKFnxocz37M/SayS+fnAeP52W5nue8h3v8lGY\nkatSFzAvfZ4v8zMysWNnRW/ny9l9bLDiFWHUdizRBAiJgYTxULgeUAaf/3bmb7lkxCX8beff+Kbw\nm249v7NNBs8wBPfgefdPxnibrFidbD5ax8aCWu6al9Wh1HZmVgxatYTF4WrtcLr3Mz6KS+azyg3c\nMfEOLsy6sF/Wpg6WwUsYo3yvzkOSJB4//XEywjP49ZpfY3PZ+uW1T2a7S0yMSQ7vkCH3lmia2w67\n//ZxMETC3Id9HUvF/jtB6B8iwBMEQRB6xO5089Y6pSFCcqSR3OEx2Jxu9pQ2dOvxNc02Dlc1c8nk\nFO6aP4K75o/g9jlZQGtnzu1FDewqMXHrrGGo2pR1DYsLRe8p0ZTtFt7a/y9kJO6Y+SigzE5LjjQQ\n4ZlT19YFE5N57bqpjE+J6P3JtxFh0CiDzgMZNhuKN4NLCQBVkoonZj1BgjGBb499263nd7jlNnPw\nPHvwehBEH29tAzylRNPFX7/PJy5Mx/UzO5bQhug0TMtU9kaG6TVgrsNxcAWvR4RwevLp/CLnF/22\ntqABXvxY5XvVAQBCtaE8NO0hqi3VoqtmF9xumb1lJiamdtxD5y3DbfFmoI+sgiPfwbxfgTGanVU7\nCdeFMzxy+GAuWRBOWiLAEwRBEHpk6c5S/vzNIQDSY0J8A8N/LOhemeYWTzln20HjSZHKIOSKRiXA\ne3v9USIMGq6YmtbxCYC9Fdu47d/z+Vhj45K4KSSHpwBw6+xh/M/5owM+JsKg5aJJyf7dGfsgVOff\nGdJP5ixwtMDh73yHNCoN05Oms6ViS7f24imDzj0ZvCE4JsE/g6emtsXG2vwa7pibFXRYvbebZqhe\nA3s+ZZNOokF2sHDMwj7vu2sr6B68iBTQR0B1nu/Q9KTpSEhsrdjab69/MjpWZ6bJ6gwY4EV5M3je\nWYirnoHIDMi9A4C8ujzGx47v189YEE5l4k+SIAiC0CMbC5S5d68uzGF6ZjQxoTpGJYZ1ex/eusM1\nGLVqJqW1XggatGqiQ7SUmyyUNVhYsbeChbkZHYaRO1wOHlvzGxZ+fQsFrmYeSz6L31/4tu/2VKqh\noAAAIABJREFUM8ckcnlO4KCwvxm0amxOV+BgbdT5EDcaPn8ALK0dRmckzaDWWkthY2GXz+90yb65\nYSqVhE6tGlJdNKubbITpNRi0akL1GmQZokO03HBax+yd19yRSvlsmF4DO95lRVwa4drwPnfNbK91\nD167z06SIH40VB/0HYrQRTAmZgxbKrf06xpONgfKGwEYnxI8g2e2uZTGOaXblCH1Gj1u2U2BqYDs\nqOxBXa8gnMxEgCcIgiD4LFpbwMvfHur0PpsK6rhgQhKXTE7xlU/mDo9h27F6nK7OA5C9pSY+3lLM\nRZOSO7RMT4o0UmGy8s2+ClxumYW5Gb7bZFlmr3kvD69+iGVHv+RnDSa+nPAA1577ClpVx3LMwaDX\nqHDLAYIEAK0RLv0bNFdA3pe+w95GHVsqug4WHG6339wwg1Y1pDJ4hbUtZMSEAPjGHtw+N6tD0N7W\n+JRIJqdHMTe8jKbKvXyjlTk782x0al3Qx/SGN3AONJqD+DG+Ek2vGUkz2FW1S+zD60SFp7w6NdrY\n4TbvHrxmmxNqDoHshsRxyuNaKrA4LWRFZQ3eYgXhJCcCPEEQBMFnyc5SluwsDXp7Sb2Z0gYLM9uU\nVwLkDo+l2ebkQHlTp8//t+8PE2nU8ruLxna4LTnSQLnJysaCWtJjjAyLCwWU4O7lbS/zZvWbrC1d\nyy9r63lw8r2E5XavG+VA0Xv2xdmC7YtLna6U+5W0lvZlhGcQb4zvVrmfo80cPGjNGA4VhTUtDPd8\nhrnDY1gwOp6bTg+evQMls7b03tmcZf6aZRGRWGQH14y5pt/X5svguQIEeAljwVwDLTW+QzOSZmB3\n28U+vE5UNdnQqiWiQzr+wsUb4E1Oj2oNnhOUAO9Ig9JNd0TkiMFZqCCcAkSAJwiCIPgU1ZopN1mD\n7hHbUaQ0Upk+zD/A8zbH2FXSeaOVyiYrY5MjiArpmJFJjDBQ1mDhx4I6Ts9qHWXw9t63eWffO8wN\nn8umEbdxS2OTUt51nHXZ2VKlgtRpfgGeJElMT5rO1sqtne7Dk2UZl7u1RNP7ekNlTILD5aa43sKw\nOCWDNyktin/emkt4gOY3Hdiacez5hA9j45kUP4nxseP7fX1B9+CBUqIJfvvwpiZORULqVua1v7jc\nMq+tOky9Zy/jia6qyUp8mD7gHtcQnYbl98/lL9dOgar9oNZBjJKx8wZ4WZEigycI/UUEeIIgCAIA\nDWY7jVYndqfb1yCjvZpmpUQtJcq/DCspwoBKgipPk5RgTGaHbz9Oe8mRBurNDkwWB9OHh7HsyDJu\n+uomXtn+ChcMv4Croq9Cf2SVsrctuvNM0GDQa7rI4AGkzYCqfWBr9h2akTSDaks1xxqPBX2Yw5NZ\n6liiOTT24JXUW3C5ZYbFhvb8wbv+zUc6N0WyjTsn3tn/iwPU6iBz8KBDJ01osw9vEAO8XSUN/Onr\ng/z8g22D9pp9Ud1kIz7CEPT2cSkRhOg0yvsaNwrUyt8DR0xHiDXEEmWIGqylCsJJTwR4giAIAgBF\ndWbfz4cqmyk3WTrcx2RR2v5HGPz3UalVEjGheqqbO9+j1GBx+DrqtZeTEYVOrSIquoRXDt7EY+se\no95azyPTH+Hp2U8T0ZQPx9bDyHN6emoDwjuuwdbZvri0Gcp+o6IffYdmJHr24XXStMMbeLTdp2jQ\nqrEOkRLNozVKQOst0ez6AWvghxfgs9upX/0sb8TEMCtlFvPS5g3I+tRSJxm8AJ00QQnMd1fvHrR9\neA2eQfE/FtQF3ud5gqlqtJEQru/6jpX7lTJYwC272V65nVHRowZ4dYJwahEBniAIggD4B3j3f7SD\n6xdt6nAfk8VBuF7jG8DdVny4nuqm4Be/sixjsjiICpLBmzsynlWPTiI26xOiDVG8fd7bLLtsGTeP\nvxmdtYnJu/5Xufg+7ee9OLv+Z+hqDx4o4xLCU+Cr//Fl8TIjMokzxrGtMnhmxpvBa/s+GzTqIdNk\n5WiN8v/SsO4EeEdWwb8uVlrnF23ir0mpmFUS/zPjf/ptpEV7nZZoBuikCYO/D6+mqTWLvrv6xP/c\nq5qsxHcV4JnroLEEEicAsK50HUVNRVyWfdkgrFAQTh1dBniSJI2XJCne83OsJEmLJEn6SJKkcQO/\nPEEQBGGwtA3wqptsFNWacbe7ADaZHUQEycB1FeA125y43DJRRv/9d27Zzcd5H3Ppkku5ePHFNNmb\neHHBi8xImtF6gb9/CRqXBa5+FyIHZwxCV/TdmU2nD4Mr/g51BfDVrwFlH15OQg47KncEfZjD5c3g\ntQY4+iFQoinLMl/uLuftdUeJCdURG9pF90u3C75+DKIyMf/yIL+bcSn/kU1cO2YhI6IGrulG0EHn\nXgnjoGwnNFX6Dg32PryaltY/S4WNJ/bnbne6qTc7us7gle9UvqdMAeD9/e+TYEzgnGEnRlZeEE4W\n3cngvdnm52eACmAx8HbguwuCIAhDUVGtmZhQnd+MsHqz/148k8Xh64jXXkIXAV6DWSnvjDRqWXJ4\nCVcsu4IFHy9g6ntTeXrT00ToIrhuzHUsu2wZY2LG+D9432JaQtIgaVIfzrB/dWsPHsDwuTDvEdj5\nPuz5FIBpidMoaymjoqUi4EO83R3bNlkxak/sDN7BiiYuf30D9364nXCDhjeun9p1Bm7He1C1j7zZ\nP+ealXew7Mgy7pp0F49Mf2RA16pRB5mD53Xaz8HthP/ergShDP4+vJomO6E6NcPjQilrPrEDPO/e\n3ITw4HvwACjfpXxPmsTh+sNsLN/ItWOuPW6jTgThZBV8GA0gSdLjwAjg55Lyt/TlKIHdGCBNkqT/\nBVbLsrxmwFcqCIIgDKiiOjPDYkOoMFkp88y0qmy0ERvW+lv5zkos48OVPXiyLHe4sP/35iKO1SoZ\nQpP7CK9veILs6GwWpC8gxhBDVlQWFw6/EJUU4PeOjeVQuI7qzGsIHaCSvd7Qe7podhngAcz/DRT8\nAF88BGkzyEnIAWB75XYuzLqww929GbyOYxJO3Av951fkUVDdzAtXTuLKaWm+XxQEZW2E75+mImMG\nNx58mwhdBIvOXURucu6Ar1Xd2Rw8UPaIXfgCLLsP1vwZFijZ1xlJM/go7yNsLht6dTf2m/VBTbON\nuHA92Qlh7Csyd/2A46iqyRvgdfGelO2EqEwIieGDXX9Fr9bz01E/HYQVCsKppdMMnizLTwBlwL+A\nr4C9siw/6jleKMvykyK4EwRBODkU1ZnJiAkhKbL1t/BVTf5dMRs6yeDFh+lxuGRfpq6tl749xJtr\nlHboa6o/IsoQxVvnvcUfZv2B+6fez0+yfhI4uAPYvwSQqUqY07sTGyDeDF63smpqDVy5CBwW2Po2\no6JHEaoNZXPF5oB392aW2nfRPF5jEg43uLqcwVfbYmdKRjRXz0jvOrgDWP0ctNTwyYhcbC4b/zz/\nn4MS3EHrHrxOm5fk3AiTrlHWeVS51MlNysXutne6f7K/1LbYiA3VkZ0QRmWL7Av6T0Te7rkJEV2V\naO6C5Mk0WBv4/Mjn/CTrJ0QbogdhhYJwaulOiebTwEbgE+B3oOzLA6oGcF2CIAjCIHK43JQ1WMiI\nCWFcSgSpnjEIVe1KLjsr0fQ2WPj1Z7vZW2ryHa9stFLdZMM79q2k5TAzkmYQoYvo3uL2fgaJEzGH\npvfwrAZWt5qstBWdCcmToXgzGpWG+Wnz+fbYt9hdHUdSOL0ZPNXx76JZXGfm6R+tLN1Z1un9miwO\nwg2dFga1qjoAm/4P+7Sb+axiPfPT5pMeMXifb+sevE4+O0mCi16C2Gz47A5w2shNzkWv1vND8Q8D\nvsaaJjtxYXpGJoThkvFlwE9ES3eWodOoyIgJCX4nWxPUH4XkSXya/yk2l43rxl43eIsUhFNIlwGe\nLMuLZVlOkWV5mCzLGz3H9smyfMXAL08QBEEYDKX1FtwypMeE8IeLx/PVg3MB/7l23i6Yne3BA/hm\nfyUfbyn2Hd9T0hrsoTJTY63suMcuELcbtr4NJVtgwuW9OKuB1a0xCe2lz4Sy7eC085Osn9Bob2Rt\n6doOd2udg9cuwDsOe/AOVjQBymy7QPaUmDhc1USj1dlhfEZQq58DbSgfpI2izlrHDeNu6K/ldku3\nMnigNMk58zForoDKvRg1Rk5LPo0fSn7odFB9f/CWaI5MCAfgcFXTgL5eb606WMWXe8q574xsokI6\naapT5Rk7kTCezw59Rm5SrhiPIAgDRIxJEARBEHwdNDNjQ9GoVUQYtEQYNH4ZPKvDjd3pDjqovG2L\n9P3ljb6f95a1BnhqQzkAo6NHd76g6oPwzwuVPWvD5sK0W3t8TgNN78ngWXuyLy49F5xWqNjD6Smn\nE2eM4/Wdr9Nsb/a7W6AumgaN0kVzoAOL9vKrlLUFG2L/28V7eHZ5Hk1WBxGGLppluN2w9R3Yv5T6\nGbfy5oH3mJc2j5nJM/t72Z1SddVFs63Uacr3MqXr6fz0+ZQ2lw5osxWny02d2U5cqI7MOCUr1rbL\n7YnCYnfx+yV7GREfyp3zszq/c9V+AExR6ZQ0lzArZdYgrFAQTk0iwBMEQRB8F49tS6wSIwxUNbYG\neN4h58EyeG337uWVN/pGLOwtNfn2q+lClK6Ro2M6CfAOfQ3/N0cp47v0Nbj5cwiJ6cVZDayuMnhO\nl5vXVx/23zeX7glkijehUWl4evbTHGk4wsOrH8bhbt276B107jcHT9eDpi79KN+TOaoMEuA1WOyU\nNViwOd2dl2iW74a3z4UvHoTMOXwUE0uLo4WHpz08EMvulC+D5+pGgBeZDiGxvgDv/GHnkxmRySM/\nPEJxY3EXD+6derMDWYa4cL0yd1IFtc0dS3mPt798l09JvYVnL5/o+/MQVNUB0IaQLyv/H4nsnSAM\nHBHgCYIgCBTXmdFpVH5d8BIi9FS2abLSVYAXotOw9Xdn8/yVE2mxu3xB455SEwtGxwOgD6kg1hBL\nnDEu8EKqD8GnP1O6GP5iK+TcoOyFOgF1NSZhV4mJF1YcZMORmtaDEckQPdzXtGN26mweP/1xNpZv\n5IkNT/iyc74STVXbDJ43oOy/AM/pclPf0nngcNiTwatsDDwCo8XW+lmHB8vg7fkU/j4f6o7C5W9i\nv/G/fHx4CXNS5wzovLtgfHvwupMNlSRInqJ0gATCdeG8dtZruHFzz3f3YLKZuniC7jlc1cSlr63n\ngr+s5dq/bwQgLkyPJElE6CRqTrAA72BFE4vWFnD19DRmZsV2/YCq/RA/hkMN+YAI8ARhIHU7wJMk\nSS1JUookSRner4FcmCAIgjB4jtWaSY82+krXQJlpFSiD135QeVtxYXrGJUcCSplmVZOVykYbucNj\niQ/XI+nLg2fvLA3w0ULQ6OGaDyAsvh/ObOD4ArwgGTyz3anc3j4AHHEGFK4Dl/J+Xj7ycu6ZfA9L\njyxl0Z5FQJs5eO324AFY+nEf3j/WHuXMF1cHLft0u2VfgNe+o6pXs82J2ZOlDJjBqyuAzx+AtFy4\nbytMvpavCldQa63lxnE39s+J9JCmqzEJ7aXkKBkou6eUOSKTv5zxF0qbS3lo9UM4XB07x/bUmkM1\n7CpuICXSQFZ8GJdMTmHmcCVzHamTqG0JPmPyePh8Vxky8OgFY7u+sywr71/iOPIb8onUR5IQkjDg\naxSEU1W3AjxJku4DKoFvgS89X18M4LoEQRCEQeQdkdBWfLieGs9cO4AGz9DzYBk8r5GJYahVEnnl\njewrVfbiTUiJYGSiEZe6InCA53bBf++A+kK45j2IOrE6ZgYiSRJ6jSpoBs9bmmlvf3vWGWBvgpKt\nvkN3T76beWnzeP/A+7hlNw53xzl4oXolwGu2OfvtHNYfrqHe7Ah6DuWNVsx2F1F6JYPUvlW/3en2\nO7+Ae/A2/0MJZn/6FhijkWWZ9/a/R3ZUNqcnn95v59IT6u42WfFKnQayy1emCcqw+idmPcGWii38\nN/+/fV5TUZ2ZcL2GRTdP5x83TefVhTm+GZTheumEK9GsN9uJMmqJDu2ksYrXnk+hpQrSZ3Ko/hCj\nokd1mJUpCEL/6W4G7wFgtCzL42VZnuj5mjSQCxMEQRAGhyzLFNeZyYwN9TseG6rD5nTT4glUuirR\n9DJo1aREGThWZ2ZPqQlJgvGpkdx/fiSy5AzcYGXLW5D/DVzwPGQOneYLnQZ4nkxbh/lxw+eBpIIj\n3/sOSZLE+cPOp85aR15dHg7Pc+raZPCiPR0KvYF2X7ncMjuLGwB8Gbj2TJ6Zhmnhyjqq243NaGkX\nbAbM4OV/C8PmUK3V8+GBD7llxS0crD/IjeNuPG4X+d49eK7uzpbz7Z380e/wxSMuZkTkCFYUruj1\nWqwOF7tLGiisbSEjNiTge6KUaLa+9yv2lvPDoepBb7jTlsniIKKLvwsApWHS8kcgbQa2iT/lUN2h\nrpssCYLQJ90N8IqB/ikyFwRBEE4oDWYHTTYn6e0yeN7sQa3nwnJncQMhOjWJkV0MMwbSokIo9gR4\nw+NCCdNrqLYdBeg4IsHtgh9fUy6ip/+sH85o8HQ2usAcLINnjIKUqVCwyu/w6SlKNmt96XpfZsmX\nwSvfRc7qm1ijewBH2d5erbXR6vALDo9UN/uygcHKPr1z9xKMyjraN1ppn03ssAevrgBq81mckMZZ\n/zmL5zY/R6O9kQemPsAlIy7p1Xn0B7W6hxm80FiIGwVFmzrcdO6wc9lWuY1qc3Wv1vLxlmIufW09\n24/VM6zdL1m8InRKBk+WZQ5VNnHPB9u5+e3N3PPB9o7/fw2SbgV4dQXwr0uUsusr/sGmyq1YXVZm\np84enEUKwimquwFeAbBakqRHJUl62Ps1kAsTBEEQBsexAB00AWLDlIxRTbMdt1tm5YFK5o2M77pb\nHpAeY6S43sLeUhMTU5U9eXl1eehUOjIjMv3vvPczpTRz5t0nbEOVYPTajhm83SUNjHxsOUdrWoAg\nTVhGnAGl25R9hx5xxjjGxIxhfdl6XymkRqVSGs+8dzkhpiMYJTuT19wOptIer/X8l9cw5clvff+9\no6je97PFHrjs0xu8xocolwvtG6202LvI4OWv5IhWwzNV65mRNIOlly5l8aWLuX3i7WhU3ZyZNwA0\nPRmT4JU+U8ngtRuOft6w85CR+b7o+yAP7FxhbQuyDI1WJ5mxgQeFR+gk7C43TTYnf/76IKE6Dfef\nNZKv9lbwwoq8Xr1uXzVanZ1n802l8K9LwWWDG5dAzHC+L/qeUG0ouUm5g7dQQTgFdTfAK0LZf6cD\nwtt8CYIgCENcoBEJAHGhrRm8vWUmKhttnDMusVvPmR4dQnWTjXKT1RfgHaw7SHZ0duuFvSzDxtdg\n8V2QNAnGXtxPZzR49Bp1hxLMv68pwOGS+T6vCggS4GWdAbIbCv2HnM9Mmsnu6t1YHEogZTCXwnuX\ngaTGfMPn3GT/DRpHM3xwla/hR3eVmZTsm7dr5o6i1uAyWImmt2NnYogSEFWY/Iedty/R7JDROfwt\nrySmotPoeX7e82RFdTErbZD0eA8eQMbpYDVB9QG/w1mRWaSFpQUcWN8d5Q2tWdGgGTy9st5v91Xy\nzf5K7pyXxcPnjGJ2diybC+t69bp91WhxBA/wbE3w7qVgbYAbF0PiOGRZ5oeSH5iTOgeduhv79gRB\n6LVuBXiyLD8R6GugFycIgiAMvOIuMni1LXa+3V+JSoIzx3Sv813bcs/xKZG43C721u5lYtxE5aDT\nBkvvha9/C6MvhFu/AnU39vOcYAxaVYexBQ2efWtqTzYyYAld2gzQhcPKJ5S5f56s0NTEqTjcDopb\n8oimkcSl1ykXyzd8RljSKPKlYSwf8b9QtQ8Or+zVmjcW1AJKgBfima1nCRLgtc3gRRq1HKz0H8je\nbPN/XJi+TVbOYSGvZAOrtTI3jrsx+GiM48D72fQogzd8nvLdM+LCS5Ik5qTOYXPFZmyunne6LGsT\nNAfP4Cnfn11+gLgwHbfNGQ5AVlwYR2taerUXz+508/jSvR32VXaXyeIgItjcw/1LoTYfrnpH6UAK\nFJgKqLHUMDtFlGcKwkDrNMCTJOkVz/fPJUla1v5rcJYoCIIgDKSiWjPx4XqMOv/SyxhPd7w6T4A3\nfVhM9zrmAWnRRt/P41MjOGI6Qoujhcnxk5WDKx6FnR/A/N/A1e+BPqx/TmaQ6TVq3z41r3rPPrda\nT6YsYAZPo4Or/6WUr314NbyWC1sWMTVa2Z9Y2LKP+zWL0TQWwcKPIHkSkiQRFaJlmz4XtCEdsn9d\nSY1SPpP1h2totDo4VNVErqcNvznIHjzv3jytCsYlR7C/zH87ftsMXphe48uMAchH1/JCZAjhaiPX\nj72+R2sdaOrelGhGpUNMFhSs7nDT3LS5WJwWtlVs6/FayhqsJEboMWrVjEwMXBwVoVPWW9ti574z\nRxKq14DbxWmq/WTbDlDfixEKhyqb+NfGY/5zGrtJluXOM3j7lkBUBow4y3doa4XSNXZ64vQev54g\nCD3TVQbvPc/3PwMvBvgSBEEQhrhjdS0dsnegNBAJ12vYUdRAXkUT53azPBNaM3jD40KJMGjZXb0b\ngEnxk8DeArs/hinXwxmPgqrbI1lPOHpN8Ayed25Z0CYY2WfBL7bBFYuUAPfLXxL15hlkGxM5Zt7D\nTFUezrRZMKw14xFp1FJrlZX9YIXrerRWb6C5+Wgdu4tNyDLMHqFk1axBM3jebp4wLiWCvIomnG06\nT7ZtstJ+/93nu/7BFqOBh6Y9SIQuokdrHWiSJKFWST0L8ACGz4fC9eDyL02dkTQDnUrX4zJNm9NF\nTbON63Iz2fb7s32/VGnPG+BlRam5LrUaNr4Or07hou13sFj/OMZFc+Dwdz16bW9X3GBdYDtjtrtw\nuuXAAZ6lXgmCx13qt6d2a+VWEkISSAtP6/HrCYLQM53+qyrL8jbP9x8CfQ3OEgVBEISBVNVkIynC\nEPC22DAdqw4qe8m6u/8OID5Mj16jYoJn/92u6l1E66PJCM+A/cvA3gw5N/R98ceZQavucIHs7VTp\nrZqzuzoZTK7RwaSr4I5VcMtyCIllZvUxSs17SVUV4/a25/eIDtEpAeTwuVC1H5q737nR20jlaE0L\nm4/WIklw+ohYQLlgL6k389jiPX6z7rwlmjqVxPiUCGxONwWe5jHQmsEL12v8AjynuZbXG/cxTh3G\nlWOu7fYaB5NaJfn24D35+X7+/PXBrh80wjPDsGiD32GjxsiMpBmsK+1Z0F1pUn4JkBxlIEQXpNzR\n1sRpBS+xLvy3rLRdj/ads+HrRyEkjopz3+CX9rtxOhzw/pXw4xvdfm1vgNebLpydjkzJXwluB4y9\n1HfILbvZVrmN6YnTxfw7QRgEQ/fXpoIgCEK/cLpktOrAF12xYXpcbplRiWEd5uR1RqWSeOnqKdx3\nZjYmm4nVxauZljhNubjb+QFED1OaVgxxeo3Kb0yC1eHyzQ30ap/hC0iSlEzdlYu4sLEBJw6+DzMi\nZfq/R1EhWurNDsg+Rznw4+vdWqfbLWN2uMiMDcHpllmys4zs+DASIpRGOmaHi1V5VXywqcjX/RNa\nxyRoPRk8gP1ljb7bvQFeWkxI65Bzt5v/fvMgpRo1d0+4HZV0Yl5qaFQSLreb7UX1vL3+KCsPVHb9\noOxzQBemZKDbmZs2l8LGQoqbiru9Bu/+u5RIY+A7yDIs/QWJVetJyxqHavb9Sknzg3vgju+Jyb2W\nxfJsfjXiZt7Mnk7xyt/B8v9RRo90oS8ZPO9jA45JyP8aQuKU4fAenxz8hGpLNWdmnNnj1xIEoedO\nzL91BUEQhEHjcsuoVEECPE/J2Nlju5+987poUjKjEsN5dfurNNmbuHvy3VB/TNk7NuX6ITcSIRC9\nRkWj1cH2onpqm22U1Fs63Mfe3WHaAInjmJh9MRkOB+9HhLNSNrGmZA0byjZQ1FhEVIhOyRAmT1Le\nww2vQuW+Lp/W6nQhyzApLQpQOqfmZERh1Cr7Lq12l2/PYF1L66w8b4mmVgXZ8WHoNCr2l7cGeM02\nFzq1il+dN4pfnJmNXJ3PW/+ay9MNO5iqCmP+5Fu7f+6DTK2ScLhknv1S6YrZdpB4ULoQpfRw39IO\nXUznpM4B6FEWr9wT4CVHBc6gc/g72L+Eo8Ovh4X/hrMfh3GXKPvbJIkVx74gPPsV1je9w99clVyY\nnsJNxYtZ+skVuLoI8hr7kMFrDJbBc7uU5j8jz/GVXh+sO8gr21/htOTTODfz3B6/liAIPdejAE+S\npMDtnQRBEIQhyy3Lvq6C7XmHnfekPLOtfTX7+M+h/7BwzEJGx4yGXR8BEkxe2NvlnlAMWjWVjTau\neH0D055eySV/63hx39kF9Fd7ytl2rN7vmHT5G8zTzuGI1sCvN/6ee7+7l7u+vYuLl1yMS3vUt8eP\nc58GQyR8/kCH2WzteccgTEyN8MXVORnRvgDPbHf5Aru2w9BtDhd6jQqVJKFRqxiZEMaBcv8MXqhe\nzZljEpnV8jW/+88FvKJq5Pzocbx57fcnbPYOlAzed3mVbD1WT3qMkboWe/f25OXcqJRpfnqb0g3W\nIzMik/Tw9B4FeBWeEs1gJdKs/TNEpFGcfmmHm5YXLOexdY8Rqg2DyptZdskKHpz6IKaweH5nK+D6\nZT+lxhK8gcqAlGiWbFH24I1UMsxFjUXc9e1dhGpDeXLWk6I8UxAGSbemjEqSNAtYBIQBGZIkTQbu\nkmX5noFcnCAIgjDwnG4ZTZASzZnDYzha08xkT+anJ9yym2c2PUOMIYZ7ptyjBCE7P1DazUel93XZ\nJwRvN8bc4TGcPz6J/KpmWmxOdhTXU1ynZGc6K4F7ZvkBIgxalj8wt/WgRg+Jj9CyLo/PHx6Dw+XA\n6rLym7W/YYf5LSyOO7A6XBhCYuC8Z5U5glvfgtw7gr6O2TPOIDZUT1q0keI6CzkZUWjUKnRqFRaH\ni9pmJbCr9waQKCWnBm1rd9WxyRGsPti6708J8DRgruP3m55ieaiRe8fezF0zfnnCX8xQ8ZkXAAAg\nAElEQVSrVSqK6yxkJ4Rx/cwMnvh8P3UtduLD9Z0/MPN0uPDPsPwR+PhGuOY95TNDyeItzl+MzWVD\nr9bjdstIEkHfC7PdiUrCN67CT8lWKNoI5z+PbPUPpLZVbuN363/HtMRp3D36j1z75jbWH3Tys9N+\nxm1p57Bi0UwelzSc8+k5ROoiWZC+AL1aj0t2oVVpmZM6hwaz0rGz/RzH7gga4B38ClQaGHEWlS2V\n3PntnbhkF2+f8zbJYck9fh1BEHqnu79aexk4D6gFkGV5FzBvoBYlCIIgDB63W0YV5AL0spxUPrrz\n9KAlnJ1ZnL+YPTV7+OX0XxKuC1caUzQcU0oLTxJbPEOmb58znNvmDOe5Kyby6sIcYkNbg4TOMiRW\nh4v95Y2+rNieEhMbDtfgcLrRqgyMiRnDxPiJzEiawaO5j1LrKEQbs953gc2kayBrgTJPr7Es6Ou0\neBqshOjUjEwIJ9TzHcCoU2OxO31dP9uWaFocLgza1kuFMUnh1DTbfLPTmm1OEnR2Slf8ihVGHbcO\nv5i7cx854YM7ALXntB69YAyJngxat8o0QQmmL3pJ2W/20fXgUIaVz02di9Vl9Y1LuOGtTTz5xf6g\nT2OxuzBq1YHfr+3/Am0o5LT+eXHLbj488CE/X/lzUsNS+csZf2HmsETGJUewZEcpAFJ0BhfE5fBO\ns4qFoxeSk5DDN8e+4fOCz/m68Gs+PfQpd6+8m60ti1CHHMHqcHZ87S749uAZ2gV4h1ZA5mzMGh13\nr7ybems9b5z9xgkz4F4QThXdyuAByLJc3O4voJ7/ykcQBEE44bhk+f/Zu+/wtsrrgePfq2nJtrxX\nYjt29iZ7QjAj7LChlFVWGWX+GC2UDgp0QBkNlFmg7NKyIUDCTAiQQSZZdhKPxI7jvWTL2vf3h4bt\nWJ6x43U+z5MnjnR19UqREh2d857TYn5ZT1BVlae2PMWMxBmcMfIM34UbX/EN956wpEfvqy/dfPwY\nHlqezXGHDIBv3lGyvQxJoAHL+5sPMCHFwhJ/iecVCzLQHfJ3ckL6CUyKnsd27+fcvrKWJ0/6C7Fh\nsb5A48kZsO1tWHhryPsJlGiajTpuOWEMxTNTg3/nZoOWRlfoEk27y9uUwfN6mc82RigVZJfUkRCZ\nQKPDwaMN9/BWYRVKdBQXz7ylw+esv4gy6RkZH8Hx4xP5scBXJltudTChs4mm2VeDooFlt8H718L5\n/2Z28mxMOhOv7nyVCTEzWZNX2e57q9HlaTV/EoDqAtj2Lkw+B4y+QLywrpA//PAHNpRuYOHwhdy/\n4H6ijL4utVNTo1o2iZlyAZOW3cak1JNg2LQWp3Z6nDy5+Ule3vEy5hHfkG1zApM7+aAhu6SOz3eW\noiiHjMaozIXybJh5BSsKVrC3Zi9PnfAUk+M7f24hRM/obAav0F+mqSqKolcU5U5gVy+uSwghxBHi\naSeD110FdQWUN5Zz5qgzfdmJ3K9h2/9g1hW+RhWDxJKjhvHdb45Hr23532mEsemDb7sZPH/w9/7m\nAy3my7k83lbnVBSFR457AKVhOtuq1/LPzf/0XRE3CmIyoXB9m/dj82fwwg1apqVFc9qUpijGpNe2\n2IPXqkRTp0XvrIHnj2XSV5ezyng7Yz4+F358kcU1/yXJk8+7cYmcmHESyeHJba6hv3n5yjk8f7mv\ns2t8hK+ZUKczeAGzroST/gw7P4Tl9xCmNXLHzDv4vvh7/vz9UlS1qSFJKI2HlMBiq4IV98I/Z4Pq\nhbnX+9blquDCZReSXZXN/Qvu55kTniHR3PSlQnqcmYp6Z9NcwolngUbvC/oPYdAauH3m7aTafo/b\nNoLdjo9wepytjmvLw8tzWJ9fxYz0mJaZ/d3Lfb+PPYXP8j8jNSKVY4YfE/okQohe1dkA73rgRmA4\ncACY5v+zEEKIAc7jVVtliw7XlrItAExPnA67lsF/L4f4sXDcvT16P/1V8wCvrT14Hq+Ky6MyPjmS\ncquDT7eXBK9rdB7ywd8v1ZLM2am346qex7t73uWr/f7h1mlzfA0u1NBNQhr8e/BCZYtMBi0NDncw\nsKtu3kXT7SVC52HKtgehYg+c/QxPai9DdVjhk9u5vOEVXo4ZjdVj55IJA6v0dli0iUh/iWG8f99d\nlwM8gAU3wfybYP1z8MxCLnTrOWvUWawofo2MiFU4GhvavGmLPY4HNsET02DNUzDlQrh5IyRPwat6\nea3yNQD+d8b/OGfMOa1KOtNjfV+aFFb5O3uaY2HMSb4Az1Hf6n4VRcHekIiz/EQcajVPbHqiUw/V\n7vLwQ24FVyzI4N0bFrS8MuczSJxIhSmSdSXrODXz1AFRqivEYNSpAE9V1QpVVS9RVTVJVdVEVVUv\nVVW1srcXJ4QQovd5vD1form5bDNRhigyNrwO/70E4sfAZe+Dvo15X4NMeCcyeIHSzdOnpBBl0vPY\n502DtkutdmLCQ8wYA44bn0Bj2QmMiBjLbd/cxpObn8QzfCbUl0LN/pC3aXQFMnitd2aY9FpK6hzB\nDpLVLUo0PRzr+QGLdQ+c9U+YdjEbUy/nyrClcP333KTcw3+i45kQO4FpCdNanXugiDTqMOo0VNR3\nPpPVwuIHfA1vFA3KO1fyu+9eZYLDiXPYJ/ze8X++zpIhBPbgoarw2W9AZ4Ibvoezn4Ko4QCsKV5D\nniOPO2bdQZoldHOiEbG+GZX7KpuNblh4C9SXwfK7Wx1fWGWjttGFxzaaFOV4Xtn5Ci9ue7HDh7ku\nvwq7y8ux4xIOeSDVsO8HGHcqnxd8jlf1clrmaR2eTwjROzrbRfMV4FZVVWv8f44BHlVV9areXJwQ\nQoje51XbnoPXXZvLNjHN5UHz3aMw43I49e+gb6MV/CDUcg9e6AAvMGMuMkzHkqNSeH1tU3C2v8oW\n/NB+KLNBB14zd0xeytcVz/H8T8+zI24qjyoK4YXrIWZEq9sEMnhmY+gM3u5SK+DrClrTrETT4XRz\nhu0DbKbhmCedC8D4ZAvf762gIWYhn3rWE64e4PrRlw3obI2vTNNIhbUbGTzwzXybfyPvKCezuOJV\nzF4rYzbVsjd9M2/HWFnw0qkoZz7hy7Q20+jyB3hb3oSi9XDmPyFpUotj3sp+i0hNJGeOOrPNu2+V\nwQNInwdH3wbfPQ5TL/R1rwXW5Fby83+tDTxy0tSLmZ4Zxj82/QOL0cIFYy8A4Lfvb2NrYQ3xEU0N\ng3LL6zHqNMwfGdd0Px43fHU/qB4YeyqfblvKmJgxjI4Z3dVnUQjRQzpbojk1ENwBqKpaDUzv6EaK\nohQoirJNUZQtiqJs8F8WqyjKF4qi7PH/HtO9pQshhOgJHm/bc/C6w+qoo6BuH1Mri+D0R+HMJ4dU\ncAdNJZqK0naAF8jgGfVazpme2uK6A9WNRJtDZ/CMOt9/3V6vjj8t+BN/nP9Hvq/8idfiEn1DpkOw\nBbtohs7g1dndhNPIZZbNJDTkBOfqjbdvYaRzN0WpS4KDqyekROLyqKzNq0QXtQUFDSdnnNzu8zEQ\nxEcaKe9Oiaaf1e7izg9yeJKLWDfhXt6wn0c4s1kVFoPXYYXXz/M1ImnG7vIyhgL45HYYcTRMu7jF\n9SUNJawqWsWCiAUYtIY27zvKrCfKpGdf1SHloMf+xjcU/ZM7gvcdKEO10MDvdK8RYS/jwaMfZFHq\nIh5Y8wCri1YD8OHmA+worqOm0RX8lRkfzn1nTmoqK22shjfOhw0vwbwbORCdwtbyrZK9E6KPdbaL\npkZRlBh/YIeiKLFduO1xqqo2n7R5N/CVqqp/UxTlbv+ff9PpFQshhOgxqqriVenREs3dP70OwPjJ\nF8Hsa3rsvANJhD+DZwnT42yji2Yggxem1zAjPZrM+HDyK3wf0L0qbQZ4gQ/XdpfvvOePPZ9lecv4\nTLOT6/asQPG4Qdvyv+hAF03Tofv6Cr7nvNq3cGhSuF77MfPtvpb+6qOPoIxZzLW276jWJVKSfAJj\n/TeZkGIBYGVOKXrLZsZYphFviu/sU9NvJUQYW2bAuigw97Cg0sb6/Eo0CkxLnMrKyjXsXPI8U967\nBF47G855Dkb49q/ZnW6udPzT1ynzgpdB0/LvZ3n+clRU5kbM7fD+02PN7PevIUhvgjMe983re2oO\nzLwSQ/QFzFayuUK3nNO161ldbUevWcIjxz7COR+ew2s7X2Nu8kIanB5uXzyWW04YE/oOq/J9QWvN\nfl/mccZlfLnjFYBBEfALMZB1NoP3KLBGUZQHFEV5EPgBeLib93kW8Ir/51eAs7t5HiGEEIcpsO+q\nxwI8VSVny8sAjJt3W8+ccwAKZPBizHqcnrZKNP0ZPJ1vDtrTl8zggbObWsrHmENnbAIZvOaZwdMy\nTyPP28huTz0Urm11G5t/r1fw79njgq/up/bVM5hQ+yYvGx4izLyXP2Wcy/85r8OZthCyP2GUuo8v\nkq7G2yx7NDI+HINOw5f7v0JjqOGMjPO68Mz0X6kxJoprGjs+sA37/cHhvsoG1uVXMXl4FJPjpgLw\nY0MpXPKO78B/nwr/+TmU7mBR45eMtm/3NR+KSGh1zk/zP2VK/BQS9K2vO1R6nJn9lSEauow+EW7Z\n7CuV3vASJ39xEm8b7+d07XoKvEkssK+CsmxMOhOnZp7K+pL17K30Nfxpd+j757+Dhgq4YhnMuAyA\nr/Z/xbiYcaRFht4rKIQ4MjrbZOVV4FygFCgBzlVV9bXO3BT4UlGUjYqiXOu/LElV1YP+n0uApC6u\nWQghRA/xqD0c4B3YRI6jnGhtGIkRw3rmnANQIMCLMulxuL2oIbpbBgK0wCDxCSmWFnubotsI8A7N\n4AEsHrEYo9bAszExkP1pq9s0ONyYDVqq7FX8uGcZH72cxY27XyVrRBqnpw1jRto4Lh+WzDvKBj4K\nG0buoifgrlzOYCk7Ek5vcS6dVsOIlCpqw5bhdcZyyqgTuvLU9FvDo01YHe6mIfJdVFTtD/CqbGwu\nrGFORixjYseievVsr9gGqbPghjVw/O+g4Ht4ZiG/dv6T/PCjYPplrc6XV5vHrqpdnS53TI81U1Td\nGPzSpoXIZF8m78Z1rM28kaudd/BY+lPcl/gPbIoZ3r8O3A5OyTgFj+rhs/zPAUhsK8Cr2AvZn8Dc\n63x7/YCKxgq2lG3hhPTB8XoQYiBrt8xSURSLqqp1/pLMEuDNZtfFqqpa1cH5j1ZV9YCiKInAF4qi\nZDe/UlVVVVGUkD2d/QHhtQBJSUmsXLmy1TH19fUhLxe9S573viXPf98abM+/w+P7J7ggP4+VStFh\nn2/M7ufINhhJ0qWyatWqwz5fcwPpua+0eYk2KkTRgKrCV9+sbDWKIrvKF6Bl79iOpsQ3WrbW0fRf\nYsm+vax072t17jqn75jtu3JYacsLXn5S5Ml87PmYL3a9h9642LcB0C+/0IHidXHZOxew31MGOojX\nx3Fs5Hyyy3UUOAuZEDaZQsNHuKI3s/SjNfx8vJFsZwJppQep1zlZuXIlFa4KltUsoyRiI4rbjKP4\nQnZtXE/OAG6wElBT4tun+OEX35JuCTF8vANrdvr2tgW6ppobisnfdRBPYxobi9c0e+3ORjfrKdIK\nPyC7YD+fmH/Fuau/a3W+T2o+QUEhsjiSenvHr317uQu3V+W95d+QYG77+/t3HFl8o7q4NNPM2q0O\nHlCu4+GDj1L076soHn0NqfpU3tv9CvB/7N+9nZWlLcce61x1TNn2IJGKjjXuSbj861ptXY2KiqXM\nMmDep501kP7tGWzkue+ejvbRvQmcAWzEl40LUPx/HtnejVVVPeD/vUxRlPeBOUCpoigpqqoeVBQl\nBShr47bPA88DzJo1S83Kymp1zMqVKwl1uehd8rz3LXn++9Zge/6tdhd88TljR48ma1G7/6R3zO3E\nve5K9iZHctGoBWTNzuqRNQYMtOf+wtPg+W9z+bYom/kLj2kxOgGAnDJY/yNzZ01n5ohYwN945Rvf\nwOj5M6eSNb51kUuDww1fryAtYyRZx44KXr7Qu5D1//mG98PKeXpSMiROCF73n8INmHWfsN9Txu31\nLuac9AgTR5+Ooihc/9pGsvNK+N0NC/igyMnHe5fzw75GHrnieNzLP2fMyAwi9MVMnDORMz84E4/X\nw5zoC/lq3UQSw6M4/rjjeuHZO/JiCmt4asv3pIyeTNbErhcXvZy/HkUpD44ivPKMRVTZnDz08hiq\nwldQEZXI+dMnNrvFEk6891N+OWokWVnjW5xLVVX+/v7fmZM8h7NOPKtTr33D3gr+vWMdw8dOZcHo\ntvdEflO7nciDxRx33HF8XLaFHxxHw1GNpK59mtSjf44y+jfc/PXN6GPWcWrW70mOatYgqSof3rgA\nGvbDBS+ycOJZwate+uwlRkWN4uLFFw/ojqqhDLR/ewYTee67p90STVVVz1B879JjVVUd2exXpqqq\n7X4SUBQlXFGUyMDPwEnAduAj4Bf+w34BfHjYj0IIIUS3+Jsl9syYhL1fss9dhxOV8bHjOz5+CDDq\nfJmgUJ00A5cFjgn8HCjZjDJ1fg8egF6j5/TM0/nBFEbVpldaXFfnrMFm+oC5jXauOP4RJo05I/gh\n/N7TJ/DHJROZkR7NhWMvBMWFJ/FZXlqzHWhqzPL0lqdxeBz8b8n/uHrSDeANI9HSzh6tAWZ4jG9G\n44Hq7jVa2V9lY2pqNADjkiKJCTcQZdLjbvA1KXnih89aHO/yeHF51FYD7ctt5fz++9+z37qf00Z2\nvhtlepxvVMK+DhrFWB3uYAmxUa/xZRxP/BMMmw4f/opjwzMYZpyKMWkZ68u/RLXX+bqzfnkfPHsM\nNJTD5R9Cs+CusK6QzWWbOX3k6YMuuBNiIOpwD57q2zjwSTfOnQR8pyjKVmA98ImqqsuBvwGLFUXZ\nA5zo/7MQQog+ENyD1xOfyX56i+xI3x6ysTFjOzh4aDD4g7FQw84De+gO/YBvCfN1z4xpo4umTqtB\np1Fa7MELOH3ChXgUhT/mv8uyDU+ytXwrJQ0lFPASbsXFb8NGooxvuacuLdbMlQszURSFKQlTWHrc\nUnRhpbyYexeKrg6t1sXrFa/z7p53uWjcRWRGZTLe30kzMXLwjL+ICzcQptdwoBuNVvaUWimqamRO\nRgyRRh3zR/neB5FhOrz2YXjdZqrVbS1uE/j7CwTQbq+bF7a9wBnvn8En+Z9wxaQrWDJqSafXkBJl\nQq9Vgs1e2lJvdwfnNBq0Gt8XBToDnP9v8HpQvvwDUw23oHOmcO/393Dq63P502fXsGLz81jT58J1\n38KI+cHzrS5azRXLr8CgMXD6yNPbulshxBHU2VEHmxRFma2q6o+dPbGqqnnAUSEurwRkB64QQvQD\nPdZFs7YIcpaTM34+enshI6MOs9xzkDBoA9m21sFYUwav5XetUSY9ZVZHm100A7cJlRUcGzOWX46/\nhDd2vs7KHc/Djud9V2jhrqoaRi75R4u9eaEcm3YsV4z6My/t+T3mEc/wdnEcpfZcrp58NTdMuwGA\n2HADoxMjGJMY0e65BhJFURgWbepygGe1uzjn6R/QaxVOmZzMRXPSSbL4Al9fdlaDxzYKTHvZU2pF\nURRGJ0bQGAjwDb4A7785/2XppqUcn3Y8d8y6g3RLepfWodUopMaY2V/ZQYDncAfLhY16bdOXD7GZ\nvqYpqx9jVOJR3Fixn23hVr5IncDysGre8diJ1Vfw18YDLIgZQb2znkc2PMK7e95ldPRonjjhCYYN\n4cZKQvQnnQ3w5gKXKopSADTg34OnqurU3lqYEEKI3tcU4HV2ak4IXg+8dx1o9eSERzEqzIBeGzr7\nNNQY9W1n8BxtZfBMehTF93tbwvTakBk8gFvm3s114y+jaO0/KNr5LkWqg4kOJ8NJgVHHd2rdN80/\nhTfXHsRmeQu7x8ov4n/BbTNbjr344MaFwQB2sBgebeJAddcCvHKrg3qHm8cuPCq4l/JQHlsGess2\nrnz9cxz2KNbdcwJ2p+81YdJr8Xg9vL7zdaYnTmfp8Uu7vf70WHPrYeeHaHC4gx1afRm8Zq+jeTfC\n+n9xfdn9WDUWlpz3FksyFuL2utlctpkH1z7IdV9cx6ykWRTXF1NiK+GqyVdx47Qb2x3ELoQ4sjob\n4MnESiGEGISaxiQcxkm+ewz2fQdnP0tOznMcPfzonlncINCUwQtVotlyTEJAlEmPJUzfbla1rQxe\n8Pqo4Yw6+e+MyvoDbHmTR5dtImzGRdzYyUDeoNNw+YxFPPZFMo9eMgNTZU6rYyIObRozCCREGskr\nbz9AOlSd3dd9s72Mq8eWCUCJYxdu63Q2F9YEyyRNei2rilZRVF/ErTNv7ebKfdJjzWzeX93uMVaH\nm9RY3349g06DVwW3x4tOq4HwOLjhB+596hUMI+bwx4yFAOg0OmYnz+atM97ijV1vsDx/OVHGKB5a\n9BDTEqcd1pqFED2v3X/pFUUJUxTlNuAu4BTggKqq+wK/jsgKhRBC9BqvP4On6W5jhMIf4Zu/wuTz\nqRh7IpX2SsbFjuvBFQ5shjYaovguaxp03lx6rJkMf8OMtrSXwWvBGIl9xjU86ToTors2fPry+SM4\ne9owZoyI6dLtBjJLmN7XWbYLAnPzLKbQAe/METGMjBqN6jGiNRcA8OWuUhqd/r9/PTy79VnSItMO\ne4bciDgzdXY3NTZnm8fU291EBko0A3tEPc1en9FpfOicjRKV2uq2Jp2Ja6ZcwztnvsP/lvxPgjsh\n+qmOvn57BXABq4FTgYnA4X29JIQQot84rD14jnp492qIGg5nPEZOpa/ronTQbBII3kI3WfGiUUB/\nSIebu08djzvUsOpmDB1k8JqrswcCkK6VzUabDfzjoukA7Org2MEiMkxHvcONqqqd7gZZFwjwwkI/\nv+/esABVVZn89Gj0URsxKjGs2KXl2LEJAPxU8w27qnbxl6P/gl5zeKXNaf7M3P4qG9FmA1a7i71l\n9UxPbwrSm+/BC34B4fISSEB6vCr1jqZGLEKIgaejd+9EVVWnACiK8iK+bphCCCEGCffhBHgFq6Fm\nH1z8NoRFkV2VDUgHzeaaMnits212l4cwvbZVIHHonrxQwvTazgd4jb4SQot8YO9QZJgOrwoNTk+n\nS1ADAXRUOwG0oigkOS/loPdNlOjllHlW8q/tS9BFhPFm7jsclXAUp2V2fiRCW0YERiVU+kY23Pv+\ndj7aWsyP955IQqQRj1fF1uyxBb+AaJbBa3D6Xi8S4AkxcHVUjB+sU1BV1d3LaxFCCHGEedXDCPDK\ndvp+T58HQE51DinhKUQZo3pqeQNeoARuZU45/9tQyLsbi4IlfQ63t1UHza6ct1MlmjSVELYXgAif\nCKPvOaq3N33kUVU1mOkOpalEs/3nd3RcMiM817P0mJdxN4xmfdU7mNJeI1Jv4bGsx9BqOg7sO5IW\n05TBA8irqAdgk39f3qHBW/MMXoDVLgGeEANdR+/eoxRFqfP/rAAm/58DXTQtvbo6IYQQvSpYotmd\nPXilOyEqDcJ8/xXkVOUwLkb23zWXGGlEp1F4+YeC4GV3nTyOG48bHczgdUeYXktNY+f2inW3RHMo\nCgQ1VruL5CjfqIMPtxRz38c7WHvPCSH/vuoa3Ri0mg6D9QfPnozD7SUt1kyG5wZ25+WiGCp4/pfX\nkGjumX2O4UYd8RHG4KiElCgT2w/UsXFfNSdPSg4GrhGt9uA1fVkQ2IMYCHaFEANPuwGeqqqH/3WS\nEEKIfisQ4Gm6lcHbBYkTAbC5bBTUFbB4xOKeXN6Al2gJY8PvTqTe4ftgff4za8gt82VV7IeZwXN0\nMoPX0R4x0SQQ4NU1y+Ct2FFCjc1FudUR3OPWXJ3d5R9t0f57KNHSNBT+pIlJZH9tBWciFpOph1bv\nkx5rCmbwAgHdhoIqwDciASDi0Axes3LfesngCTHgDa4BNkIIIbokEODpuhrgeVxQsRsSJwDw9u63\n8apeFg5f2NNLHPCizQZSY8ykxpjJjA8nv9LXht9xmBm8zu/BkxLNzor0B8GBLJaqqqzP9wVHNbbQ\nGdPaRlebHTTbcuLEpODP3X0NtGVEXDj7/K+xygYHAD8V1fLw8mw27POVaoYfksFr/lqSEk0hBj4J\n8IQQYggLzMHrcgavci94XZA0iQZXAy9ue5EFwxYwPXF6L6xy8MiID6egooGfP7+Wz3eWYuzmh/uu\n7MGrkw/snWYJlmj6nrO9ZfVUNvhGDtQ0+n5XVZWthTWo/vdOXaOry9nRKcOjSLIYAd8cvJ40LjmS\n4lo7NTYnlfVOjh+fyPxRcTz3bR73vLcNaCrRDGTwmnd5DZT0yutFiIFL3r1CCDGEebu7By/QYCVx\nAm/seoNqRzU3Tbuph1c3+GTEmam2uViTVwnQ7RLNrmTwahtdGHWaHs8UDUZNGTxfgLfWn70DqPZn\n8NbkVXLxv9bx0HlT+NnsdOrsbqK7mB1VFIWTJibz7qaiVmMyDtekYb49sT8V1VJlczJ5eBS3Lx5L\nVYOTFTtKyCmxMmW4rxFSqAxeoJw4Ukp6hRiwJMATQoghrNtz8Ep3gqKlNjKZl79+may0LKYkTOmF\nFQ4uI+LCW/y5u0FXlzJ4jS4pz+yk5k1WANblVRJu0NLg9ASHh+/176H8+4rdnD51GHWNLtJD7M3r\nyF2njONns9M6PW+vsyYN8wVv3+2tQFUhPsI34C423MDP56S3ODbUnEbrIY1YhBADj5RoCiHEENbt\nAK9sF8SN5tXdb2F1WSV710kZ8S0DgdpOdsI8VJf24PmbgIiOmQ1aNIovyFFVlXX5VWSNSwSgusH3\nd7W/0oZWo1BR7+Dpb/b6SzS7HgxZwvRMHt7zI0Viww0Mjzbx7e5yAOLCjW0eG2pOY73djVajYDZI\nxleIgUoCPCGEGMI83Z2DV7aTmoQxvL7zdU7OOJlxsTIeoTNGxIajUWB8ciQAe0ut3TqPUafB41Vx\neUIHeYHZbR6v6msCIvupOkVRFCKMOqx2F/kVDZRbHSwYHUekURfcg7evysbI+Nq1/ZAAACAASURB\nVHDOnjaMF77Lp6YfZkgnDbOQXeJ7bcX5M3ihGEPswbPaXUQYdT2eWRRCHDkS4AkhxBAWHJPQlQ9z\nzgaoLmBjZAw2t41LJlzSS6sbfEwGLS9dMZvnLpsJQIOzc2WWhwqUdraVxTvrqe8Z9dtPGfXbT/l+\nbyUx5rY/5IuWIsP0WO1u1vn3383NjCM6XB/sollYZWNEnJlfnzIejeJ7D/W3DOm8kXHBn+PbCfAC\nzWGq/I1kwJe9lPJMIQY2eQcLIcQQ5u1OBq88G1DJM/pKv8bGjO2FlQ1egZK/y+aNYMGouA6ODs2o\n930/a3d5Wn0Y93hVth2oZcGouOAH/ePHJx7GioeWyDAddXY36/IqiY8wMiohnGiTgWqbE1VV2V9l\nY/6oOIZFm7h20Sie+GpPv5sxeN7MVO5f5muE1F6JZrRZT4RRR1F1Y/Ayq8MtHTSFGODkHSyEEEOY\n29ONOXhl2QDs9dpJCU8hXB/ewQ1EKA+cPbnbtw3TtZ3Bq210oaq+YdpXLMzs9n0MVZYwPVa7ix3F\ntczNjEVRFKLNeqptLirqndicHkb4m6pcf+xI6hpdLBob38erbinKpGd2Rgw/FlS3Wz6qKAqpMSYK\n/YPRwVei2d8CViFE10iAJ4QQQ1ggg9elEs2K3aA1kNdYysjokb20MtGe5hm8Q1X7uz3GhEtZZndE\nhulYX1CF1e5m7shYAGLMBgqrbMEB4ulxvgDPbNBx35mT+myt7XnjmnmUWe0dzrhMizUHHxf4SjST\nLGG9vTwhRC+SPXhCCDGEBXp0dKlEs2IPntiR5NcVMDpqdO8sTLQr0N7e4WqdwQu084+WfXfdYjHp\ng6MC5mb6SlxjzHqKa+08sGwnJr2WycN6vvtlTzPoNKTGdDy+IS3GTGFVY3Bwe72UaAox4EmAJ4QQ\nQ1hTF80u3KgihwOxI3B4HIyKHtU7CxPtCmbw3K0zeFX+dv4xZimz647L548gPsJAWqyJMYkRAESZ\nDTjdXrYW1fLEz6eTOIgyXGmxJhpdHir9jVakyYoQA5+8g4UQYgjzeH0ZIK2mkxGe2wlV+eRmzoZK\npESzj4QbfP99h5qjFyzRlAxet0xPj2HtPSfg9qrB8katv4T5wlmpLJ6Y1JfL63Fp/ixfYZWN+Agj\n9XY3kbIHT4gBTTJ4QggxhAVLNDu7B686H1QPuQZf8DAqSjJ4fWFCSiQaBTbvq251XY3swTtsOq0m\nOIoC4Jzpw7lqYSb3n9X9xjj9VZq/YUxhdSN2lwenxyslmkIMcPIOFkKIIcwbmIPX2a/7KnYDkIuD\nJHMSEYaIXlqZaE9kmJ5Jw6KCs9qaq2pwodcqhBu0IW4puiM9zswflkzs62X0itQYE+DL4AX2HkqA\nJ8TAJhk8IYQYwjxdnYNXngNArr1S9t/1sbmZsWwurGnVSbPG5iTabEDpSmdUMWSFG3XEhRsoqrZR\n75AAT4jBQAI8IYQYwtzeLgZ4FXvwWoaTX7dPArw+Nicz1tf4o7CmxeXVNiexsv9OdEFqrK+TptXu\n29MZYZQ9eEIMZBLgCSHEEBYo0ez0HryK3RyIy8Duscv+uz42JzMWRYH1h5RpVje4iJYOmqIL0mPN\nFFZLiaYQg4UEeEIIMYR5upLBU1Wo2EOeJRFAMnh9LNpsYFxSZKt9eNU2p3TQFF2SFmOiuKYx2JVV\nAjwhBjYJ8IQQYgjzqoEmK50I8KwHwWklN8w3A0xGJPS9uZmxbNxXjcvfDvXDLQfYU1ZPTLhk8ETn\npcWacXlU9pTWAxApJZpCDGgS4AkhxBAW2IOn60yAF+yg6SLRlIjFYOnNpYlOmDsyjkaXh20Haqlu\ncHLrW1sASLaY+nhlYiAJzMLbebAWkAyeEAOdvIOFEGIIC5RoajqzBy9vJQC5zhopz+wnZmfEArAu\nr4rA3+ANWaO4+pjMvluUGHDSYn1fCOw6aAUgQgI8IQY0yeAJIcQQ5u3sHjxrCax9Fu+kc8mrL5QA\nr59IiDQyKiGc9fmVFFQ2AHDejFQijPIBXXTesGgTGgX2V9kI02vQa+XjoRADmbyDhRBiCAvOweso\ng7fqIfC6ODj/WhrdjbL/rh+ZOzKODQXV5JU3oFGasjFCdJZeqyElyve6iQyT/XdCDHQS4AkhxBDm\n8aooSgdNVir2wsZXYOaV5OLrsjc6evQRWqHoyNzMWKwON59uO8iwaBNGnbavlyQGoNQYf4An2V8h\nBjwJ8IQQYgjzeNWOs3dfPwC6MDj21+TV5AEwMkoyeP3FvJFxaBTILW8gIy68r5cjBqi0WF+jFWmw\nIsTAJwGeEEIMYR5VbT97d2AT7PwAFtwEEYnsrdlLvCmeKGPUkVukaFeSJYxTp6QAEBsu8+9E9wQ6\naUqJphADnwR4QggxhHk7yuBtfh0METD/JgDyavOkwUo/dO0xvozqiDhzH69EDFSBvZvSoEeIgU/e\nxUIIMYS5vWr7M/AOboWUaRBmQVVVcmtyOXv02UdugaJTjkqLZtnNRzM6MaKvlyIGKCnRFGLwkAye\nEEIMYV5vOyWaHjeUboeUowAoaSjB5rZJBq+fmjw8ijC9NFgR3RMo0ZQZeEIMfBLgCSHEEOZR1bZn\n4FXsBrc9GODl1uYCSIAnxCCUGGkkLdbE2KTIvl6KEOIwydc0QggxhHm8oGlrD17JT77f/QHeZ/mf\nodfoGRMz5gitTghxpGg0Ct/edRxKR111hRD9nmTwhBBiCPN4vW3vwTv4E+hMED+GXZW7+Dj3Yy6d\ncCkWg+XILlIIcURIcCfE4CABnhBCDGEeL22XaFbugbjRqIqGRzY8QpQximumXnNkFyiEEEKILpEA\nTwghhjCvqqJp63+CylyIG8mqolWsL1nPDUfdINk7IYQQop+TAE8IIYYwT1tz8DxuqNmHKyaTRzc8\nSoYlgwvGXXDkFyiEEEKILpEATwghhjCPt40umjX7wOvmI8VGQV0Bt8+8Hb1Gf+QXKIQQQogukQBP\nCCGGsDYDvKo8ANa5KkkJTyErLevILkwIIYQQ3SIBnhBCDGEeVQ09JqHSN/Nuj72CsTFjpbueEEII\nMUBIgCeEEEOYt50MnssQSYG1UObeCSGEEAOIBHhCCDGEub1q6Dl4NfspiBmOW3UzOnr0kV+YEEII\nIbpFAjwhhBjCfGMSQgR4dUXsiYgGkAyeEEIIMYBIgCeEEENYm2MS6orZazCgU3RkWjKP/MKEEEII\n0S0S4AkhxBDm8YbI4LkawVZJgcZLamQqeq2MRxBCCCEGCgnwhBBiCPOE2oNXVwzAfq+ddEt6H6xK\nCCGEEN0lAZ4Q7Vi9p5wXVuf19TKE6DUeNUQXzboDqMB+Zw3pkRLgCSGEEAOJrq8XIER/9ut3fuJg\nrZ2xSZEsGpvQ18sRosd5vSHm4NUeoFKrodHrJC0yrW8WJoQQQohukQyeEO0YEWcG4M+f7OrjlQjR\nO9rK4O3X+fbdSYmmEEIIMbBIgCdEO5xuLwA5pVbsLk8fr0aInuf2tBHghUcBSImmEEIIMcBIgCdE\nO+od7uDPBZUNfbgSIXqHVw0xJqH2APvNUWgVLSkRKX2zMCGEEEJ0iwR4QrSj3u5mQooFgPxyCfDE\n4OPxhsrgFVNkMJIcnoxeIyMShBBCiIFEAjwh2mF1uJky3Bfg5VVIgCcGH69K6zl4dUUc0CqkRqT2\nzaKEEEII0W0S4AnRBlVVqXe4SbKEkWQxkt/NAK+gogGr3dXDqxOiZ7i93pZz8Jw2aKzmoOqU8kwh\nhBBiAJIAT4g22JweVBUijDoy48P5YW8F2SV1XT5P1iMrOffpH3phhUIcPq+XlmMS6opxKFDuaWRY\nxLC+W5gQQgghukUCPCHaEGiwEhGmIzM+guJaO2c88R3FNY2dPofXqwKwp6y+V9YoxOFyerzotc0D\nvCJKtL4RqcPCJcATQgghBhoJ8IRog9XuD/CMOq5bNJLfnDIer6ryyg8FnT5HvdPd8UFC9BFVVam1\nuYgyN2ukUnuAAzp/gCcZPCGEEGLAkQBPiDYE9s1ZwvRkxIdzQ9YoTp2Swpvr97cYn9CeenvTcTJH\nT/Q3NqcHp8dLjNnQdGFdMQd1WkACPCGEEGIgkgBPiDY0L9EMuOboTKx2N29vKOzUOax2maMn+q9q\nmxOAmOYZvLoiDpgsaBUtSeakPlqZEEIIIbpLAjwh2lDfrEQzYHp6DDNHxPDS9/l4/Pvr2j2Ho6l7\npszRE/2F2+PloufX8Oa6/QBEN8/gVeVz0BROkjkJnUbXxhmEEEII0V9JgCdEG6yO1gEe+LJ4hVWN\nfLGzpMNz1DXL4MkcPdFffJ1dxtq8Kp5emQvQVKLpskPhOorDwmVEghBCCDFASYAnRBsCGbzIsJYB\n3kmTkkmLNfHC6vwOz9G8RPOrXaXBrppC9BVVVXlt7b4WlwVLNAvXgttOsaIyPGJ4H6xOCCGEEIdL\nAjwh2hDYgxd+SAZPq1G4bN4INuyrpqja1v45/AHeXSePY9P+Gt5Yt6/d44XoTbsO1vGz59ayek9F\ni8uDJZq5X+PS6Clz1ZESLhk8IYQQYiCSAE+INtQ73Jj0WvTa1m+TcckWAEpq7e2eI9CJ8xcLMjhm\nTDx/+yy7S3P0hOgJqqryl093ccaT37GnzMpfz53CxXPTg9dHBzJ4ud9QmjYTr+qVDJ4QQggxQEmA\nJ0QbrHZXiw6azSVGGgEoszo6OIcbRYFwg5a/nDMFrwq/+2A7qiqlmqLnlNXZ+Tq7tM3rdx208vy3\neZwxNYVv7szi53PSGR5tAiDSqPN9iVFfDiU/UTxsMoDswRNCCCEGKAnwhAhBVVWKqhuJNHYQ4NW1\nn8Grd7iJMOpQFIW0WDN3njyOr7PL+GhrcY+vWQxdr67Zx9WvbKDO7gp5faG/lPjqozOD5ZhJljAA\nosP92bv8VQAUx6YBMDxcMnhCCCHEQCQBnhCHsLs83PrWFlbvqeDkyckhj4kxG9BplA4zeHV2F5aw\nphljVyzI4Ki0aP7y6S7sLg819hpya3J7dP1i6Cmps6OqkFNiDXn9gWpfWXBqjDl4WUqUL8ALdtDM\n/QbCoinW6VBQSA4P/doXQgghRP8mAZ4QzVTWO7jkhXV8tLWYX58yjl+fPC7kcRqNQkKkscMAr97u\nbtGFU6tRuOfU8ZTWOfjTxzu485s/cvaHZ/PLz3/J8z89z9qDa2lwNbD9QC1LnvyO8g7OP5TVO9ys\n3lPe5dvtLatnd2noQGigCrxOsg/Whby+qLoRk17bYqB5sj/AizYbQFUh92sYeSzFDSUkmBPQa/Uh\nzyWEEEKI/k2m2ArRzJ1vb2XbgVqeungGp09tfw9SZwI8q93dao7evJFxHDs2gf+sLyBy/LegQJmt\njCc3PwlAjDGGReF/ZduBWl5Yncc9p004vAc1CBXXNLLgb18D8OktxzBxmKXTtz3xMV8pYsHfTu+V\ntfWFQIC382AbGbwaG6kxJhRFCV6WbAlk8PRQsRusxTDqeHYUfUhmVGbvL1oIIYQQvUIyeEI0U1xj\nJ2tsQofBHfj24TXfgxdqxp3V4Wo1Rw/gxV/M4vYlBlDcXDbyD3x49od8//PvWXrcUqwuK7ud7wDw\n2fYSacgSQvPMXUV957OcgdEXg03gi4bskrYzeMNjTC0uCzfqSLaEkRpj8mXvgL3xI9lbs5cT0k/o\n3QULIYQQotdIgCdEMx5VRadVOj4QSIgMC2ZOimsamXLfCr7d3bJk0Fei2brUTafV4DFmg6rhpz2J\nAFgMFo5PP56Lxl3Ervqv0EX9yP4qG7nl9Yf5qAafinpn8OfaxtCNRULZvL86+PNgCZw9XpWqhkCJ\nppW8EK+XAzWNwa6ZzX1400JuPG60b/9d7ChWVG9DQWHxiMW9vm4hhBBC9A4J8IRoxuNV0Wo697ZI\njDRS2eDE5fGyr9JGg9PDo5/ntAgcrHZ3m6MW1pWsJVY3hm2FLTNQN0+/mQTtZEzD3sWY/D4FlYNr\nv1hPqGwW4B3aObK6wRkymwrwY35V0+0aB0c2r7LBgVeFc6cPR6dROPkf3/LQ8mxsTt/jq3e4qbG5\nWjRYCUiyhGE26KB0O2rqbFYUrGBW8iziTfFH+mEIIYQQoof0eoCnKIpWUZTNiqIs8//5PkVRDiiK\nssX/67TeXoMQneXxqug0ncvgJVp8oxIq6h3BgeZbi2pZ5c/iebxqqy6aAQ2uBnZV7WJkxFRqG10t\nSgfNejMTNP+Hu+pYDDHreGX3Y9Q7W2ZlXF4XTo/z0NMOOHtKrV3KwAVUNjiCoyqa376k1s78v33F\nxz+1HkOhqiorm2VYy+vbH3ExUASyyCdNSuKrO49lyVHDeGZlLosf+5bSOjtF/hEJh5ZoBnm9YC1h\njzmC/Np8Tsk45UgtXQghhBC94Ehk8G4Fdh1y2eOqqk7z//r0CKxBiE7xeFU0SucCvLhwX4BRWe/E\navcFaOEGLUu/2oOqquwuteLyqIxLjmh1281lm/GqXqbEzwB8JZ7NNThURigX4qjIYkvNCub/Zz6n\nvXc6F753A+9XfcyitxYx6/VZPL7x8QFbauj2eFn8+Ldc99qGLt+2qsHJsGgTBq2mRSbui50l2F1e\n9lfaWt1m2U8H+amoliVHDQM6HlI/UAQCvITIMBIjw3jswmn899p5lFsd/H1FTnB0wtik1q9DAGwV\noHpY4a5Go2hk/50QQggxwPVqgKcoSipwOvBCb96PED2lKxm8QHfMRpcnmMG7/thRbN5fw/d7K9nk\n3+81Iz2m1W03lGxAp+iYN8wX4AXmlAXUNbqIjzASYVvCHNNvuGnaTUQqaeyo2sbX1s+ZEDeBUzJO\n4aXtL3HdF9fxSd4n2Fytg5r+rMAfhG0/ELoxSHsq6p3ERxixmPQtMngrdpQCrfflNTo9/PXTXUxM\nsXDTcaOD5xgMAgFeIKMJMHdkHFcszODdTUUs++kgBq2GUQltBHjWg6jAivo8ZifPJs4UdwRWLYQQ\nQoje0tsZvH8Avwa8h1x+s6IoPymK8pKiKK0//QrRR9xeFU0nAzyzUQtAg8NNnT+Dd9XRmSRbwlj6\n1W427ashLtxAemzrvU8bSjcwKX4SI+NiAV8TjOas/vl5yRYTqm0cV0/+JWW5F9Gw924mWf/ACye9\nwN8W/Y1bpt9CQV0Bd6++m6z/ZfHS9pcO5+EfUYFZdKGen45U1juICzdgMemCe/BqbS7W5lX6fj4k\nwHt2VS7FtXbuO3NScDzAYJkxWBbM4BlbXH7VwkxUFb7YWcqYpAj02jb+ubeWkGPQs89RyckZJ/f2\ncoUQQgjRy3ptDp6iKGcAZaqqblQUJavZVc8ADwCq//dHgatC3P5a4FqApKQkVq5c2eo+6uvrQ14u\netdgft4dDgelJcWsXFnZ4bFFVt/3Fj9u/oncGg8GDfy45jtOHO7l9V3V/FhQzbQELatWrWp5H14H\n28q3cYLlBHZuWoNWgTVbc0i15wePKa+1kWKwo3er7D1Qz0NvfUV+hZNwvUJhlYlvV30LwBjGcHfc\n3eRF5PFV3Vc8vvFx9uTu4UTLiWgVbQ8+Mz1vxR5fBi3M09Cl15OqqlTWO2ioKkFxeig40MjKlSv5\nodiN26ui00Bu4UFWrvRlUCsavTy9upE5yVps+35iU4GKToGNO/Ywyr2vy+vuT6//7CoP/9xkJ9ms\nsPb71a2uT4/UsN/qJVaxtbnmlOJVrAg3o0HBVGhiZXHo4/qD/vTcDzXy3Pctef77ljz/fUee++7p\nzUHnC4Ez/U1UwgCLoiivq6p6aeAARVH+BSwLdWNVVZ8HngeYNWuWmpWV1eqYlStXEupy0bsG8/Ou\nrFxBemoqWVmTOjy2sMoG339DxuhxVO6rJqqyjKysLOa5POx/bSPf7i7n3AXjyZqf0eJ2a4rX4C30\ncu6cczl6+NEM+/FrdFExZGVNDx7j/Ho5YzPSaHB6WL79IF8U65iYEsZx4xN4ZmUu8xYeQ5i+KYA7\nnuO5wnsFv/721yzbt4zq8GqeOeGZFoOt+5v/Fm0ESoiLjycra1anb1drc+FZ8TnTJ47BurucGpuT\nrKyjeeu1jSRZqhkRGw4KZGXNB+CmNzeh1Tp4/Ipjg6MCktZ9jSkmjqyso7q87v7y+nd7vPzp8W9J\njg7n9WvmhhyDcKYjh39+s5fjZ4wla2Ebw8tXruXuBhNzkudwxgln9PKqD09/ee6HInnu+5Y8/31L\nnv++I8999/RaiaaqqveoqpqqqmoGcBHwtaqqlyqK0nyC9DnA9t5aQ1/ZWVzH7z/Y3mardtF/eVXQ\ndrJEM9y/B8/m9ARLKgHC9FpevWoO2/90MpfNG9HqdhtKN6BVtExP9AV0w6NNLfbguTxebE4PMQYP\nC50/MNv+AyfUvM3z0a9wVe6tPKt7FOu7t0J5Tovz6jQ6Hj32Ue6YeQffH/ieZXkhvzvpN3L8JZp2\nl6dLt6vwz3yLjzAQ5d+DZ3d5WLW7nMUTk4gy66nzl2jaXR6Wby/h4jkjWgRA8ZFGyrswIL0/+mBL\nMfkVDdx96viQwR3AaVNSMOo0zM1se1+dp66YfXo9E+In9tZShRBCCHEE9WYGry0PK4oyDV+JZgFw\nXR+soVfd8fZWdh2s47L5IxibFNnXyxFd4PZ6Ox3gmQ3+PXhON3V2V6uB5oEmLM3Z3XY+L/iciXET\nCdeHAzA82sx7m4uYct8KAMINOizUc/6OG0mq3coZBt9t1dI4XFEZpCtlWHJ2oOZ/iHLpu5A2J3h+\nRVG4fNLlfLHvCx7Z8AiLUhcRZYzq8vPQ23JKrBRUNAAdB3i7DtbxU1ENP5udDjTNwIsN7sFzs3pP\nBY0uDydPSubDLcVs9wd4WwtrcHtVFoxqGeAkRBgorhnYYxI+23aQjDgzJ01MavOYicMs7Lr/lHb3\nlZZZi3ApCmmRab2xTCGEEEIcYUckwFNVdSWw0v/zZUfiPvtSlMn3tO6vtEmAN8B4vZ3P4Bl1GrQa\nBZvDl8GztDHQvLmHf3yYgroCnj3xWd8Fbgc3jyzhaFsOBm8DjfV17Cht5Dj9FhLqdpG38BFu/drO\nXT87kUXTJmAA/v3vL/gu5wDLTY8S+eaFcPmHkNJUaqhRNPxh/h/42bKf8ac1f+KBhQ8Eg8n+wOtV\nuff9bUSZ9KTHhWN3HdqDqaVrXtnAgZpGFo1NICXKFGyOEhduDGbwVuwoITJMx9zMOFbllAebrGzY\n59uHN3NEy15OFpOeXQcH9gD5nFIr09NjOizD7ahpUKGtBAxIgCeEEEIMEn2RwRv0UqJ85VJ5FfVA\n29+ui/7H7fWi7eS+NUVRMBu0wQxeW2VyAZ8XfM7bu9/myslXsnD4QnBY4dWzyDiwkYxmx53vTwTu\nnPEAE068hqdnNpLWrNPkKRk6PspL5pWRj3JT/o3wfBZMvwyO+y1EJgMwLnYcN02/iaWblrKlbAt3\nzrqTUzNP7Rd78t7eWMiGfdU8fP5Uvt5VRm55fbvH67W+NX+4pRidRmHpl3uIMOoYHmPCEqbH41X5\naEsxp01JxqDTEGXSY3N6yCuv57s9FYxKCCcm3NDinCk6K5rGjhvp9Ff1DjdF1Y38fE764Z3I1cj+\nhhIwhJMeeZjnEkIIIUS/cCQGnQ9Oqx6G1Y9CiCHTgQ+kuWUNR3pV4jCoqtqlPXjgK6cMZPAi28ng\nHag/wH0/3MfU+KncPP1m3+vmvWuheAuc+STctBHu2I16zwGOdizlEuc91E26BEVRWgR34AssU2NM\nbGuMhRvXwdzrYcub8MQM2PpW8LhrplzDG6e9QYI5gd+s/g03fHUDLo+LLYU1/Oy5NV3e+9YTKusd\n/PWzbOZkxnLBzFRMBi12d/vrCDST+dtn2Tz4yS5mjIjho5sWEmXSE2XyRcNOj5eTJ/mC2yiz77Lj\nH13FmrxKZmfEtjzhsts5Jfs8fhb1W7L3fdvDj/DICIyYOOwKgV3LKFTc6BQtSWb5MkoIIYQYDCSD\n1x1eL9+WrMex7zsWl+2C4+6F2KYOdQ1O3wfWjjITon/x+JvidCXAMxu11DvdWO2udgO8P/7wR1RU\nHlr0EHqNHn76H+R8Cic9CDMuDx6nAEVqAkVqAvcesqevudQYE4VVjWCOhVP+CrOvgQ9+Bcv+D9Ln\noUalo2g0TE2Yypunvcmb2W/y8I8Ps3TTUiJs57Auv4rCKhtjjlAJcZ3dxTWvbKDR6aHe7ubPZ09G\nURTC9JoOSzRL6+xEGnWkx5m57cSxnDghMZiJbL7vcbF/L1og6AP4xfwR3JDlG2yOqmLb8CJrd77J\nXcOScSoqb3xzEysu/g6LwdLDj7h35ZT4ArzxyYf597f5VQrNUaRGpqLV9O+xGkIIIYToHAnwukFV\nFF60mMlOTmH07k/I3P4eTLkAjv01xI3C5vANvd5bXo+qqv2iLE50zN2NAC/coKOu0YXd5cXSRkBm\nd9v5seRHrp58NamRqWAthc9+DalzYN6vWh2fEGmk3OoINnEJJTXGzEb//jIA4kbBef+Cp+bC0qOo\nUaKJWXgVHP97tBotl028jP11+3ll5ysssqQA0ZTWOY5YgLentJ71+VUA/CprVPB+jTptu5lEu8tD\ntc3FHYvHcvMJY1pdHxfhK7387Wnj0fkHeQcCPK15L7HDSnlo/dPkl2+j1FlDvQIkJRBrSGZevolP\nh+fx1o7XuXZ667+H/iynxEq4QdthWXC7dn4I+d9SNH46qbL/TgghhBg0pESzGxRF4aFFD2MwRHBx\nejr3TZjPhtxP8b64GJwNwQxejc1FaV3XWrGXWe1c9uI6bnpzE43OI19CN5R51W4EeEYtJbW+boxt\nZfD21uzFq3qZGDcRagrh7SvAaYOznoIQWZPXrp7D2dOGkRrT9of3tFgTdXZ3sJkIANHpcNkHPOY6\nn/Xu0fDdY/D25b77BO6cfSfjYsbxQ90T6KI2UlLb2MbZe15gbMFfzpnCHSeNC14eptfiaCeDV+Z/\n/yRFhYW8fm5mLMtvO4ZrF40KXmbUuzAmv4d5xAu8sPNxthWuIqOmmDPVM5NCmAAAIABJREFUcG5L\nyeKJY/7OXZOfp7Z+GsfYGnlhx0usPbi2Jx7mEZNTYmVMUmSHDVTa5HbAJ3fQkHIUe1y1jIlpHTwL\nIYQQYmCSAK+bksOTeeGkFzh+xIl86irnysRoLonW4djyJo1OT/Cb9S93lQK+/V0/lvzI27vfxuay\ntXneW/6zmfX5VXyy7SCXvriOGpvziDwe0ZTB03Uxg1dSFwjwQmfwcqp88+rGFf0ET8+Dg1t9++4S\nxoY8fnyyhX9cND2YkQolNca3L6/5/DwA0ufyhOdcrnP9H+tG3Qa7P4cnZ8KKezE6Gnj8uMcxqsmY\nhr3Ns3tu48nNT7KiYAX76/Z3+jF3R02j73U8f1RciwA6TK/B6fEGy2MPFXhuky2hAzxFURif7Cuv\ndHqc/G/T0/zuu7MxxKznghonK/cV8YUnkX+c/wn3XLmWq096kuNGnkJihIXtagb3VVQxXBfBr778\nFSsKVvTkQ+41qqqSU2o9vPLM7E+goZwfjjobt9fNouGLem6BQgghhOhTUqJ5GMbFjuPPR/+Ze+fe\nywd7P+Cv6//K01ueJtz+G84N/5QafSG5G4bzreEYVjYe4O297wOQW5PL3XPuDnnOfZU2lhw1jBPG\nJ3LrW1s4/9k1vHrVHIYdTimW6JTAYHpNF0pqzUYdVruvJLetDF52VTYRaBj+xZ8g81g48wmIyTis\ntQaye4XVNiYOa7l/LDLMt6aH60/m3Vt+Cd/8FdY8BVvfIu3Sd0iov4PK+q+wDV/PC9tewKv6MmiL\nUhfx4MIHiQmLaXV/h6vG5svgRZtaBsGBBioOtwezofXzFwzw2sjgAXhVL//Z8AQv7XqNMtXJZIeT\nByrqcTdmEvfzh2Hc6aBteW6LSUeRmkC0JoKXwyZwc1QDd626i1pHLReOu/CwHmtvq6h3UtXgPLwG\nK5tfg6g0VrkrsRgsTEuc1nMLFEIIIUSfkgxeDzDrzVw84WLOip/JS0Y3BfEP8JhlMy/FV/BO5FZu\n3PZP3t77PpcnH815Y87jP9n/YUvZlpDnqne4iTDqOHVKCq9ePYfSWjv/99/Qx4qeFczgabuSwWsq\nsYw9pBV/QE7ZZsbabWgW3uqbWXeYwR1Amj+DV1jVMhvs9arU+/eA5lc0QFQqnP0UXL8a9Gb492n8\nseq3bG18hqdKdaxLOIX/Jp/KLQkLWFO8hgfXPnjYawslUEpqOTTA0/n+CWqrHLnUX/6aFNlGgGer\n4p33L+FvO18kvbGef8XM5/ULv+G/I5dhuvojmHhWq+AOAvv0FKos44kq3cFzi59j4fCF/Hndn6lo\nrOjmozwyDqvBiqrCN3+B3K9xTb+U1Qe+Y+Hwheg08l2fEEIIMVhIgNeD/njKv/htzCzmN3g4UXc2\n98/6F9r8q7g7+jLedcVy59r/cnvCfIaFD+OWr29h7cG1qM3GLKiqSoM/wAOYNzKOrPGJlFm7to9P\ndE+3MnjNsk4Z8a2HiXu8HnJqchnndMP8m6GHGu5Em/UMjzbxY0FVi8utdjeqComRRqoanFjt/j16\nyVPg6s9hZBYTPbv52judVNsuwja9xsQ1z/HL9W/xK6uDz/d9zhf7vuiRNTZXY/N1GT10f2Mgg2d3\nh96HV1JnJ0yvwWIKEYAc3Ert0qk8WbOV2boYXrp4NfPOfB5t9DCWXjS99XiEZgINcfZbZsLBrZiq\nC7lx2o14Ve//s3ff8VXV9+PHX+eu7L3JhAAJe4NskA0qKtq6+3VA667WWltnf11qrbW1WgdFFBVb\nxYEgIBuULcMwA4EMEpKQebPvOr8/Tm7mDZCQzfv5ePgI3HvOue9zTXjcd96fz/vN7nO7W3iX7eN4\nthmAvs1N8GwW+PJ+2PoSDLuDHT1HUVBZwJy4OW0QpRBCCCE6iiR4rcioN3LLtUv4Outv9Ai+nfn9\nxuBuGsw289X0vXMVSkAsvquf4N+T/oZRb2Thtwu5ZfUtrE1di91hp8Jqx6GCl1vth1mDTsHmuHAb\nedE6WrQHz01LUHzcDAS5qOCdKT5NuWpjUEACeIe0TqBoe88m9Q3h+1P5WO213x/m6oRuYKQfgDZK\nwck3gooFHzKoajEPWR/hRvd34OkszjyQzocD3uXOKh39LDb++P3zFFUWtVqsoFXw/D0b71GsSfCa\n6KSZX1pFsLeb6060217hDT9PzHoDT81djOITesnxeJr0GHQKewKvBb0b7HqTfoH98DX5sjNr5yVf\npyMk55QQ7G0i2Nvt0k+yWeDjn8Ch5dpYl+v+xVdnVhPgFsCEqAltF6wQQggh2p0keK3MYndgc2iV\nHZ1OYdaAMLYmn6dc8dC6JhalE3dsNd/c+A3Pj32eMqu29+eVfa/ULK3zdqtd9qfXKUh+1z6cjT6a\n05nQWcHr4e/hMglJSlkLwMD4ua0QYX2T+4ZQWmVjf51xCc6lkAOr9+WlN1jCmV9WhR09fh5Gcs1V\nfLw7nbmv7+SZH7zYNPo9/mBxx2wx88yGh2r25rWG4gprvfl0ThdL8MyVNpeJIQVnOJ2ylv96ufHT\nxFvoG+C6YU1TFEXB18PIOZsPDPkpHPoEfUURYyLGNKqsdzYnsktIaG717sQ3cHozzPsbTH6SMls5\nWzO2MqfnHG0uoxBCCCG6DUnwLsPLa4/zq/8dqvdYeZX2QdU5w2zWwHAqrQ62JZ+H2HHQZybsfBM3\nm5Wb+t7EV/O/YkGfBXx8/GMOnz8OgHedZh16RSp47cV+GRW8ptr4J2Vsw8fuILb/jZcfYAPjewdh\n0CmsPZJd85hzHMGAmgpegwSvVOtm2S/Chyqbg999kcSwGH/cjTr2FniS8LN1/LpCx9b8Qzy37Skq\nbZWtEmtRuQV/j8YVTnej9k/Qf/dm1MzJq6u4wup6vuDut/nUxxu9zsj9Q+5vUUx+HkbMlTZtFqGt\nAn5YwsTIieSU53Ak/0iLrtnWHA6V5JzS5jdYOfQJ+ETAiLsB2H52OxaHhZlxM9sgSiGEEEJ0JEnw\nLsPKQ1ms2H+W5JySmsfKLFoVzqu6sjM6LpAATyNrD1d/CJ/0a6gogGU3wOHP0Zec47Hhv8TX5Mtb\nSX8DVPwohePfwNa/ckfGc9xpW9Het3ZFsrdgDp5zv16Yj+vlcofNpxmoGtD5RV1+gA34uBuZOyiC\nT/edrVma6azgxQR64utuaFTBKyjTErxpiWH4eRh5Zl4/Prx3DInhvhzJKgbvUG6dt5hfFJn5KnUN\nd666lQxzxmXHWlxhxe8CSzQ/2JnGT95uvDTSZeWvogjrgWWs9vNnavTUFnf99HU3aO9XaD+InwZ7\n3mVa5ETc9G58deqrFl2zrWUUllNhtTevwUppLpxaD4N/UjN3cWP6RgLdAxkaIt0zhRBCiO5GErwW\nKiyzcLZ6Btl735+peby8uhugZ3Vlx6DXMb1fGBuP52KxOSB6NNz0HuQlw2d3w98H4PfGVTysD+VY\n0UF6+q1jwrq58MmtsPmPJJTs5E7HV1r3O9GmnBW85iR4eaXVg7hdzGmrKD5LslrFQL/4Rs+1loUT\ne1FaZeOTPdocO2ei5+thJCbIk4zChks0tQRv5oAwDj0/k/sm9kKnUxgY6cvRLDMOh4oSM5oHZ73J\nG+eLySo8xU+/vom92XsvK86LLdF0OnbOXO/v5rrnlRfAtlfgjTFsMzgoVG1c3/v6Fsfk62GsqXgy\n9gEozcE3eT1Xx1zNN2e+ocre+ZobHa/uoNmsCt6ed8Bhh2F3Atpcxq1ntzI1eip6nf4iJwshhBCi\nq5EEr4WSMosB6BPqzef7M2sqI84Ez6tOd8VZA8IpqbTVLkEbeCP8+hQs2gJzX4HYcSxI3slgi538\niM287ufJ+Vs+RH0qgw097sePMu238KJNtWSJ5qS+WuOUuYMiGj13fOer2BWFwYkLWidAFwZF+TG2\nVxBLvkvFYnPUVPD8PIzEBXlxNMtcb4j4yZwSFIVGDToG9PCjpMpWmxAmzmPSLZ/zv/xy/CtLefH7\n51u8L01VVYrKrY1m4EHtEk2nLw5k1vt7cYVVG61wcDm82h82/QHC+vNlvymEeIQwtsfYFsUEDRK8\n+GkQkgg73+CmPgswW8ydsoqX3NwEr6pES/AS50FwH5LOJ3HPunvwNfly76B72zBSIYQQQnQUSfBa\nyJngvbhgEFU2Bx/vTgOgvLpRiked+Whj47W9Ut+n1JmvpTdCj2EweiHctAT9wk28mVfBpBKFpZ4K\nV+/+HSM/ncqLxo38M8APqvfnibZjb8GYhOExAaS+OK/RsHEsZSSdWgXAwPhZrRajK4sm9SLbXMnq\npCzMFTb0OgUvk57ZA8PJLani+1Pa9125xcZ/92Uws39YvU6tAAN7aHv2fjxbXPtg1Egi7/6WheV2\nkksz2HVuV4viK7fYsTlU1100DbU/Jya9jm+SztUkkpVWO1U2B32syfD1IxA5Au7fSd5N77K98BjX\nxF9zWfPb3Aw6qpzjGRQFht4OOUmM8unF4ODBLDm8BJvD1uLrt4XjOSVEB3o0+v/XpB3/gspimPA4\ne7P3ct+39+Fr8uX9Oe8T7RPdtsEKIYQQokNIgtdCP54tomewFyNiA5nYJ5gPdqZhsTkoc1HB83Iz\nMDTanx0p+U1fMDSRtZNWsybzT/x76jJ+O/q33N7vdvR6X97z86U8J6mtb+mKZ2/BoPMm7XmHJMVG\nhFsgwR7Bl3+9C5jcN4Teod68u+1MdVMSA4qiML2fts/u0x/OAvD1oSyKyq3cN7FXo2skRvjgbtTx\nQ52OnAAExTNvwO0E2ewsPvBGi+IrqlNVbKjuEs17rgonp7CEY+e0KpW50ooOB9NO/RG8QuGny0jS\n2Vn47UJU1Mtanglagld3xARB2lJapTidhYMXklmayZozay7rNVrb2cIK4oIaz1t0qSQbdvwT+l9P\nTkAUD2x4gHCvcN6f8z6R3pFtG6gQQgghOowkeC3UM9ibOQPDAbhnQk9yS6r4Jukc5dVNVjzd6u9t\nGRcfRNLZopoldHWpqspzXx3ms6Qi7OgZGjaQ2/rdxuMjH2e47/9hU5QWV0/EpbO1oILnUsYe+O41\nkrz9GRg+ohUiuzCdTmHhxJ4cPWdmzeFsbUkjWvI0f2gP1h3Jprjcyr7UQoK9TYyMbdyUxKjXMSTK\nv3GCB5iG3Ma9xWb25B1q0RDwwurly34uumj6JK/gZv0W3ja+ym8OzOSw2734L58H657GkvId9+q/\nIbAkmcoZL/DKkSXcseYOzBYzr1/9Or38GieqzWHUN0jw/GO0r0XpTIqaRJ+APixOWtyq4yIuV0mF\nFX/Pxu+jS3veBWsFTHuOTRmbqLRX8uqUVwn1vPR5gUIIIYToeiTBa6Gn5iTy5OxEACb3CaFXiBdL\nd6S63IMHcFV8EA4V9qc3/gB9IKOID3amsTdVe86zTlUj3K0f7g7Ybk5pq1sR1Ryqcw9eC38sHA7Y\n/jdYMpsCD18ysTI4eHArRti0+UMjCfFxI6+0qt6yx5tHRGOxOVj5YxbHs0tIDPd1PTQcGBkXwNFz\nZsqqGixLDIrnJ4FDCLWr/HXPS1jtjX9JcSHrj+YANO78WHAGr9UP8FfjO4zVHUEZs4hvva6lqNwC\ne94h6ssFPG38mLzIabxceoz3j77Pgj4L+HL+l0yKmtSsGFzRErw6+wr9qpcsFqWjU3QsGryI08Wn\neWzzY5RZyy779VqDs0J7UdZK+GEp9J0NQfFsydhCnG8c8f5t1/BHCCGEEJ2DJHitQKdTmNEvjKNZ\ntR+OG1bwEsO1PVopuaUAHEgvZP3RHNYfzeFfm07VHOftZqg3aNukdyO23JPvHSWItmWzOwedt+Bk\nayV8eCNs/H/Qfz6Hr30ZgIHBA1sxwqa5G/X85YZBAGQVV9Q8PjDSl8RwH/63N4OTuRcekD0yNhC7\nQ+Xaf33X6BcRblN+x9N5eZwoOsm7Se9eclyVVjsf7kpjWmIoccENlhYe/BgVhbssv2Fy1d9h1p/I\nGfssc8ue4+yiY5we+Cjv2ubyw/hn+Pzk59yWeBvPjX0OH1MzZ8A1wajXYalbwfPwB3c/KNI6ks6K\nncVTo59i69mt3L76dtLN6a3yui2lqirmSmtNhbZJDjus+TWU58GYRZRaStmTvYep0VPbJ1AhhBBC\ndChJ8FpJiI8bFruDzCLtw7Vng/bvgV4mAr1MpJwvJa+0ihv/vYOFH+xj4Qf72HS8tkOmV4PE0KBX\n8C0P5ZxeIatQqnht6bIqeMe+htObYc7LcNMSksyn0Sk6+gf1b+Uomza9fxh/vWkw/7x1WM1jiqJw\n04gokjKLqbQ6Lpjgje4ZyITewZw+X8bm4w26tsaN5+rwMcyrsPHuj+9wLP/YJcX0t29PkF9mabzv\nr+A07P8Apfc0tjmGUIj2C5CZ/bVlz2uTzfwY/3P+ZLuDrzM/xqgzsnDwwkt6zUtl0itY7Y763UH9\nY6FIm/unKAq397udt2e8TX5lPresvoUzxWeauFrbq7DasdpVl3sZa9gs8Nk9sP8DmPA49JrK16e/\nxuawMT12evsFK4QQQogOIwleKwmpHnR9JMtMoJcJg77xWxsf4kVKbhnZxZWoKjwzrx+rHp7Aqocn\n8MTMvkDjcXc6RUEt1/YG/ZC6sW1v4gpnq5mD14KTj30F3uEwaiEoCkl5SfT2742n0bN1g7yIm0dG\nMzWh/h6rG4ZF1ox+6Bfu6+o0QGsG9OF9Y+gZ7EXK+dLGB0x9ht/mZuOvM3Hnmjv59dZfs+3sNqwO\n10s2f0gr5N3tZ7hrbCxj44Nqnzi6Et6eDLYKmPxUvXNigjxJDPfh2yM5WpMVt2y2ZX3Lrf1ubfVm\nNUa9DlWl3hgJ/GNqKnhOYyLG8NHcjyixlLA+bX2rxtAc5gptdYCvexMJnqUclt8CR7+EGX+A6c9j\nVx0sO7qMwSGDGRzSPsuFhRBCCNGxJMFrJSHVc8WOZpkJdzH0GiA+xJuU86U1M/OGRPszMNKPgZF+\nxId4A9Q852TQKRRV9sLb4WD/ZQ6bFhfmqEnwmvljYSmDkxug37Wg06GqKofzDjMoeFAbRNl8Qd5u\nXJ0Yik6BPmHeFz0+PsSbU7kuErzoUfj1nsmSrBxuiJ3NrnO7eHDjgyxYuYC8irxGh+86rXWN/dXM\nBO0BhwPW/hb+dycE94Gfb4foUXx03xi2P1m7fHDmgHD2phWQkluKW+hqPA2e3DPgnpbd/AUYDdr/\n53rLNP1jtQSvwW9aYnxjiPeL52DuwVaP41IVX6AbKQA7/wUpm+C612H8IwCsT19PRkkGd/W/q73C\nFEIIIUQHkwSvlTgreKVVNiL8mk7w8sssnK6ujgR61XbDiw7UKj02R/0Plnqdwlk1jGGVVewvOtEW\noYtqNRW85nbR3LtYq0YNvBGAFSdXUFxVzJiIMa0dYos9e01/3rpjRL2xBE2JD/XiTF4ZNruL7pEz\n/0TPyjKePpPEpmnv8srkV8guy+bhjQ9jd9jrHZp0tpi4IM/ahOTYStj1Joy6D+5eCwGxAIzvHVzz\n/Q8wa0AYqgqfp/wXg/dJHhvxGP7u/i2/+SYYq0u1Vludn7mAOLCWgTmz0fFDQ4dy6PyhDuuqaa7U\nEjxfjyaarBxfBdFjYLiWzNkcNt448AbxfvFMj5HlmUIIIcSVQhK8VhJcXcEDCG8qwQvVmkzsSS0A\nIKhOghcT5Hopn16ncB5/RllsnLYUkl2W3VohiwbsNRW8ZiR4+Smw5UVImAux4zhXeo5X9r3CmPAx\nzIpr2wHnzREd6MnMAeGXdGzvEG+sdpX0gvLGTwb3htl/gfTdGN8cx6ykb3hu6CMczj/MmtT6M+OS\nMosZGKkNUMfhgK0vQXBfbZ+iwXWr/yp7FSUcIyh6DQR9iVLRj5sTbm7WvV4qU/W8w3oVvNix2tcz\n2xsdPyRkCGaLmVxbbqPn2oO5uoLncolmcSacOwQJc2oe2pC2gVRzKg8OexC97uKJvRBCCCG6B0nw\nWomfhxFj9QfGppZo9gzWlsftTytCr1PqfVBral+NlmwojNUHArAja0crRi3qanaCV5YHy24AgzvM\neQlVVXl+x/M4VAcvjHsBndI1f7x6h2rfpynnmxgNMHohPHoQRt0LBz5i7pr/R4Jfb9448AZV9ipA\nW2qcWVTBIGeCl7wWco/CpCfBRbJxsvAkj295nPHLx7Nw/UJs3tvxto3ihh6/a7P3saaCVzfBCx0A\nnsFaw5wGhoVqzWtOVp5sk3gu5oJLNJOrk+vEeTUPLT++nCjvKKbFTGuP8IQQQgjRSVzCQCVxKXQ6\nhWBvN84VVzZZwYv090BRINtcSbC3W71xCADL7h3daHmnszlGrHcMYY7TfJf5HTf2ubFtbuIKZ3No\nH/QvOcE7+DEUpcG9G8A/hhXJn7Hz3E6eGfMMUT5RbRhp24qvTvCSc0qY0T/M9UE+4TD3rzD0NnSL\np/OExcTCilO8degtHh3+KEmZxQC1Cd6uN8E3CgbcUHOJ/Ip8frn5l5wtPUteRR5eRi9u6nsT43qM\nY0TYCLyMXq5eudWYDC4SPJ0Oek2G01u0fXh1luvG+sYS7RNNUnlSm8bVlJoKnqsEL2Wztn8wuA8A\n+3P2sz93P0+MfKLL/qJBCCGEEC0jCV4rciZ4EX4eLp83GXRE+LqTVVxJsHfjJWoT+4Q0esyZBNp8\n45iQfZRvs3bhUB3yoa0NOMckXHKCd/JbreITPYqCyoKapZlttaSwvfi6G+kZ7MWhjKKLH9xjGEx4\nnKu2vcz80QtYcngJffz7cDDVB50pFx/fIqwHN2BM3Y46/fecNJ/mSN4RThSeYPvZ7eSW5zIzbiZ9\nA/pyXfx1BLgHtP0NVnNZwQPoPQMOr4Ajn8PABTUPK4rCtJhpLDuyjBJLSavN47tUxdVdNH0aDjp3\n2CF1O/SfD0BKUQqPbn6USO9IbuhzQ8PLCCGEEKKbkwSvFTkbrYT7uTV5THSgJ1nFlfUarFyIs4Jn\nCejLkNP/Y4WXG+nmdOL84i47XlGfc9C54VISvMpiSN8JYx8CYG/2XsqsZTwy/JFukXwPjvJj9+mC\nSzt40hNw7Gt+d/R7zvQZwG+2/wYAr3i4bc2rGFSV6LheqLkbSE35DwAeBg/6BPTh6TFPMy5yXFvd\nxgU5EzyLrcFskkE3w953YfWvIHa8Vq2sdnXM1Sw9spQtGVu4Nv7a9gwXc6UVL5O+Ju4a5w5p3489\nJ5NZmsmi9Ysw6Ay8O+NdfE1Nj8UQQgghRPckCV4rco5KCG+iggdagrf7TMElJ3jOalJlYAL9LdoI\nhaP5RyXBawPOCl7DpbMuHV8NDhv01RqpHMk7glFnpF9gv7YMsd0MifLnq4NZ5JgrCWtiT2kNgxvc\ntATPD67j7RP72TL4WvYfOUqichY3Rwmp4Ymk9hhIpcPKbf1vZ2zEWKJ9oju88YfJoP1/blTB0xvg\n+rfg7Ymw8hG49RNt6SZao5VgQzD/O/G/dk/wiiusrpdnntkKQH7EIBZ9u4gKWwVLZy8l2je6XeMT\nQgghROcgCV4rGhEXwMncErzdmn5bY6rbwQddcgVP+2BZEdCXXhYrJkXP0fyjzO019/IDFvU4xyRc\ntIJXWQwbfg8RQ7S29MDh/MMkBCRg1Dcxo6yLGRKt7Z07lFF0ad03w/rDPevw/uxurtn1AeNVbwpC\nryJ+7HwYervLxiodrcklmgAhfWH672Htb+C9OXDtaxDaD52iY7LPZFacX0HS+SQGhbTfrENzhdV1\ng5Uz2yCkH0vOrCSrLIv3Zr1H34C+7RaXEEIIITqXrr+WrBP5ychoPn9g/AWPiQ7UqnuBXk0v46zL\nuRrLYvDD6NODvooHxwqOXVacwjXnoHPdxebgbfoTlObANX8HnR6H6uBo/lEGBA9ohyjbR/8IP/Q6\nhR/PFl/6SUHxcN9G9lyzgRFVb5Ez621tJlsnTO6gzhJNVwkewJifw/w3IO8EvDVBS+rtNsZ4j8HD\n4MGXp75sx2i1JZqNuu3aqiBtJ46ek1iXuo4JPSYwNHRou8YlhBBCiM5FErx2Fh2gVfACXTRZcUVf\nXcFzqCqE9aefxcLR/KNU2CraLMYr1SVV8LIOaPuzRt0HkSMASC1OpcxaxsDgge0RZrvwMOlJCPPh\n0NlLaLRSl97I3pIAHOgY4Oyg2UnVVvBU1wcoCgy7Ax7aBwNvgu9ehcOf4aHzYELkBDZlbGrXoed5\npRb8PRskeGf3gq2CQyGx5JTnMKtn55m9KIQQQoiOIQleO+vfw5fp/UIZFx90Scc7kw2bQ4WQRObk\nZ1NmLeMvu//SlmFekZxz8Jrcg+eww6rHwCsEpj1b8/D+3P0ADA4Z3OYxtqch0X78eLYYVW0iAWpC\n0tliYoM8XS8n7ERMzgTPdpEkzSsYrv83uPtB6ncATI+ZTl5FHofOH2rrMAGw2Byk5pXVzCiscWYb\nKDrW2wow6UxMjZ7aLvEIIYQQovOSBK+deZoMLP7ZKOJDvC9+MLXJht3hgMBejCov5b6+P+WLU1/w\ndcrXbRnqFcd+sQreoU+0Ct6sP2sf9qvty9lHkHsQPX17tkeY7WZIlD/FFVbS8subdV5SZjEDO3n1\nDsDYVJMVV3Q6iL4KMnYDMClqEm56N944+AZWh7UtwwQg5XwpNodKQniD0Qynt0LEULZl72Z0xOg2\nnx0ohBBCiM5PErxOrqaCZ1chIBaAB8InMzx0OH/Y9QfOFJ/pyPC6FfvF5uCl7wCv0Hqz0VRVZV/2\nPkaGj0S52N69LmZwlD9As5ZpFpZZyCyqYHBXSPAutgevoZgxkJeMwWrG2+TNM1c9w+5zu3l5z8tt\nGKXmRHYJAInhdcYeVJVC5j5So4eTZk5jUtSkNo9DCCGEEJ2fJHidnDPZsKsq+McBYCjO4KVJL+Gm\nd+OJrU9gtbd9BeFKYLdfJMHLOwkhCdrerGpnS86SU57DyLCR7RFiu+ob5o27UcehjEtvtJKUqR07\nqAskeKaaOXiXmuCNBSCgMAmA63tfz90D7uaTE5+w/PjyNonR6XhQQ2xPAAAgAElEQVR2CUa9Qq+Q\nOhW69J3gsLHVS9vXKwmeEEIIIUASvE6vJsFzqOAfDShQlEa4VzhPj3ma5MJkdmfv7tggu4maCp6r\nSpyqwvkTENyn3sP7cvYBdMsEz6DXMbCH3yVX8FRV5b97MzDqlU7fYAXAZLhIk5WGIkdCQE96nf4A\nLGUAPDr8UaZETeGlPS+xM2vnBU//JukcI/6wni0ncpsd64lsM/Eh3vWHnCevBb2JjSWn6RvQl0jv\nyGZfVwghhBDdjyR4nZy+bpMVgxv49oDCVACmxkzFw+DB1oytHRhh92F3qChKE01WyvOhsgiC688X\n25ezjwC3AOL949spyvY1OMqfI1nF2C5hGeO3R3NYnXSOX07v2+kbrMBF5uC5YjDB/H/hUZkNXz8K\nqopep+fFSS8S6xvL73f+Hovd0uTpaw5nk19mYdGyHyipbF7V/UzDBiunt8Le/5AzcD4H8n5kZuzM\nZl1PCCGEEN2XJHidnHMPnnNGG/6xUJgGgJvejTERY9h2dluzOx2KxuwOtekGK3nJ2teGFbxuuv/O\naUi0H5VWB8k5paw8lMWqH7OaPHbdkWyCvU38fFKvdoyw5Yz6ZjRZcYqbwOmet0PSp7BvCQBeRi+e\nGv0UmaWZF1yqmVy9j85ic5BjrmpWrPllFoK9q2dnlubC5wshuA8bemtzN2fEzWjW9YQQQgjRfUmC\n18k5h247Z7QREFtTwQOYEjWFrLIsThWd6oDouhe7Q216yHlNgldbwcsszSSrLIsRYSPaIbqOMaS6\n0crBjCIeWX6Ahz4+wOzXtrHg3zu4a8keHvxoP8t2ab9wOJBexLCYAAz6rvHPSrObrFRLj7lZm4G4\n+y1t6S4wtsdYxoSP4aNjH7mcjVdptXPqfClDo7X3s6BMq/Tlmiu5Z+lesosrm3w9q91BSaWNAE+T\nNqrj84VQWYx603usOPM1iYGJ9PLrGkm1EEIIIdpe1/gkdgUz6OvswQMIioeSLCg4DcDEqIkAbD0r\nyzQv14UreCfB4AG+UTUP7c/R5t91x/13TrFBngR4GvnyQCYAEX7uRPi5427UUVxu4WBGEc9+eZj/\n7c3gTF4Zw2L8OzjiS1ezRNPWzOq3omiD7vOSIWVTzcML+i7gXNk5dp9rvCf2RHYJdofKxD7BQG2C\nt/JQFpuO57LyUGaTL1dUri3nDPAywvevwektMOdl9lHBycKT3JZ4W/PiF0IIIUS3JgleJ2fQNUjw\nht6hJRqb/gRAqGco/YP6yz68VmBzqE0POc9LhuDe2jy0akfyj+Bh8Oi2++8AFEVhXO9g9qQWAPDu\nXSN57+7RfHTfVXz10AQ2PzGF/hG+PLniRwCGxwR0ZLjNotcp6HVK85ZoOg24AXwj4b93wIEPQVW5\nOuZqfEw+fHnqy0aHH8kyAzCxTwhQm+Btrm64svn4+SZfqqhcOzbQTYXv/wEJcykZeAMv732ZALcA\n5vSc0/z4hRBCCNFtSYLXyemrE4qaBM83Aq66Hw5/BucOATA5ajKHzh+ioLKgo8LsFhzqRfbgNWiw\nciTvCP0C+2HQGdohuo4zua+WlLgZdI0GbZsMOt66o3aJ6uCozt89sy6j3nWCp6oqn/1wloc+3l+T\njNU/0QPu26gt1fzqQVhxH255p5gbN5uN6RspsZTUOzytoAyTXlfz/hSWWyitsrHnTAEeRj17Uwso\nLLPw3vdnmPX3bWw/WZvwFVZX8Hrnb4HKYqpG3cMjmx/lVOEp/jzxz7gb3FvvDRFCCCFElycJXien\nb7gHD2D8o+DuDxt+D8DEyImoqOw5t6cjQuw2bA7V9Qw8a6XW2KZOgmdz2DhecJz+Qf3bMcKO4Uzw\n+vfwrd+mv1pMkCd7n57OVw+Ox9PUtZJdo17ncg/e9pN5PPHpIVb9eI6l359xfbJvBNz1FUx9Bo58\nDv8ex9idq6iyV7E2dW29Q80VNnw9jLgb9XiZ9OSXWvju5HmsdpVfTu+DzaEy9sWNvPz1fpTcI3y5\nJ7nm3MJyC3rsxJxchs0vhifTv+aHnB/404Q/MSFyQqu+H0IIIYTo+rrWp7ErkF7foIsmgIc/TPwV\nrH8WzmyjX+w4vIxe7Mnew+yeszso0q7P0VSCV5ACqPU6aKYUpVBpr2Rg8MD2C7CDhPm6M39ojwsu\nvwzxcSPEx60do2odJr3OZQUvs6gCgIGRvizblcb9U3rjYdI3voBOD5N/DYnzePM/b3O/eSm9g/vy\nZfLn3Nz35prDzBVW/DwMkLGH543LyM6bRc75Yn7lnsTC3BXcFn4UxZyJt15bymk9qUddOh6lz3Sq\n7GN5xvAhnrk/8NKoG9mUsZnfjv4tc3vNbZs3RQghhBBdmiR4nZxB56KCBzB6kdbFb8MLGO7byIiw\nEezN3tsBEXYfNofqesi5iw6amzM2AzA4eHB7hNbh/nHLsI4OoU2YDDqXTVbKqmwA/HJaX+77YB8r\n9p/ljqtim75QWH+WOK7F6A7X563gFbWSlO0vEj9iEXgGUlxhZQEb4b03+YnDBmmras/NjMEnuC/0\nHgu+kew3+7Jn11Z+VnwKj/XPcS0KikEld/jP+G/Bdyzos4Db+kljFSGEEEK4JgleJ+ds2293NKgy\nGN1h0hOw6jHI/pHR4aPZdnYbueW5hHqGdkCkXZ/DodZUTOvJOwkoEKg1U8mryOO9w+9xdfTVRPtG\nt2+QolUZm6jglVYneFMTQxkc5cd/vjvDbaNjmm7CA5RbbLyjXMvaWZN4be8LfHHg3zyx+RXoM4O7\nz1cxrWoj9J7Br8vvwHb2AKeswdx7/UyuH5NQ7zq9yi3c9H0k5f378PgIAweW/z++zA4kJq4f1gOb\nuav/Xa37JgghhBCiW5E9eJ1ckxU8gPhp2tezexkVPgqAPdmyD6+lmqzg5adoHRNNngC8efBNLHYL\nj414rJ0jFK3NqFeocpHglVXZ8DDq0esUFk7sxZm8MjYcy2nyOg6HSrnFTlG5hcD+NzItbhYf+wey\na+iNkLmfCVXb2RT4E7h1OXb/OL6wjOYwvZg4IK7Rtfw9TQyN9mfriVwI7MUnYY/xjX8v3k1azJiI\nMfTyl5l3QgghhGiaJHidnL7hHLy6/GPAKxTO7iMhIAEfkw/7svdd9mvuSy3gkeUHOF9SddnX6krs\nTe3BK0rXBswDJwtPsuLkCn6a+FPi/OLaN0DR6ox6HVabqwqeHS83bYHDnIHhRPp7sHh7E81WgAqr\nHQCrXaW0ysazY58l1i+OR0sOcfiu/zFReY8tsY+C3kigpwnQhsgHebvetzglIZQfM4vJL63icNmX\nVAW9Q6RPJH+e8OfLvWUhhBBCdHOS4HVyeuUCCZ6iQNQoOLsXvU7PiLARl13BK6uy8egnB1l5KItb\n3tmJudJKRkH5ZV2zq2gywSvOAD9tKebffvgbXkYvfjH4F+0cnWgLJkPTSzS93bSmKga9jrvHx7En\ntYDDmcUAbDyWQ35p7S9AnHv2QBtM7mXw4fWpbxLoHsj9mx4i35GLn4cRgEBvLcG7OrF2KbVDdbAx\nfSMrklfwafKnGP0OovM8zss7F5PBZ/g6RrBszjJZfi2EEEKIi5I9eJ2c/kJLNAGiRsKJ1VBewOjw\n0WzJ2EJ2WTbhXuEter1Xvj1BZlEFT85O4K/rTjDnte1kFlXwxQPjGNaFhli3hDYmocHvPOxWMGeC\nfww7s3byfeb3PDHyCfzd/TsmSNGqtD14rpuseLvX/vN4dWIof1x9jFO5pRQW2/n92n3cPCKKv948\nRDveYq85trDcwqvrk0k5X8o7d73DnWvuwj1qKd5uEwEI99Xm1k3rpyVrDtXBs98/y8qUlfVi8IyB\nb7LAaO3JQLdf4GX0at2bF0IIIUS3JAleJ+fcg+doKsGLHqN9Td/JuB7jAHj1h1d5ceKL6JTmFWj3\npxeydEcqd14VywNTenOuqJJlu9IA+PZoTrdP8ByqSqMxb+ZMUB3gH82WjC14Gjy5NfHWDolPtD6j\nXnE5B6+0yoZXnZl+zhEJlVY769O0al3d7Zp1K3hZRRWsOXyOSquDzDxP7h/0a/649zfk2ZOAPswd\nFEGkvwcDemhDz7ed3cbKlJUsGryoZrRCha2CP3zzA/vSsyktjSZ6TP0B80IIIYQQTZElmp3cJVXw\njJ5weivx/vE8OvxR1pxZw2v7X2vW61hsDp5a8SPhvu48OVvr6vf0vH4svXsUY3oGsvFYDqqqklda\nRWqx3fWS0S7OZQWvKEP76h9DmjmNOL84THpT+wcn2kRTXTTLqmx4u9UmeO4GLcHLL7Ow+5yWzNU9\nrbxOBe+LA5lUWh3odQof7Ewl0Xc0DpsXR0s3atcy6hnTK6jm+FWnVxHgFsAvhvyCcK9wwr3C6enX\nk/n9xmIu7InFamDBiKjWvG0hhBBCdGNSwevkFEVBpzSxBw/A4Aax4+D0FgDuHXgv2WXZvHf4PcI8\nw7i93+2X9Dof7EwlOaeUJf83Eh93ba+Qu1HPlIRQTuWW8sfVxxj+h/UUllsBCO55jmsG97jc2+tU\nHA6VRlMSitK1r37RpJpTGRxyZcy9u1I0Nei8tMpW02QFtJ8FgFxzJc4VncUV1prn61bw1h3JIcjL\nxPXDIlm6I5WZ/cOxmYdyxLiDc6XniPCOqDk2vyKfLRlbuKH3DRh1xnoxTOwTgqLA8JgA+kX4tsr9\nCiGEEKL7kwpeF2DQ6bCrF6iY9ZwMeSfAnIWiKPx29G+5OvpqXtrzEjuzdl7Sa+w6nU/vUG+uTgxr\n9Nx1Q3swo38YswdG8PTcfgCk5pW16F46M5vDgaFhBa84A1CweIeSVZpFnG9cR4Qm2siFBp3X3YPn\nZtC+LwrKa5O64gpL7fGW2gQPtC6YPxsbh0NVeWtrCpb8iegUHW8eerPmmI1pG1mwcgF2h50FfRc0\niiHQy8SfbxjEC9cOaPkNCiGEEOKKIwleF6DXKRdeEtl3lvb1x/9WH6/npUkvEeIRwvLjyy/pNU7k\nlJAY7nqfT6iPO+/eNZK/3DiIhZN64WWEHHP3G6HgcEDD/I6idPAJJ6MiFxWVWN/YDolNtI0LDTqv\nu0RTp1NwM+goLNOSOoNOoahOsldeZa93/pSEEGKCPJnSN4Tj2SWoNn+ujbuJr059xfLjy3li6xP8\ncssvCfUMZfk1y0kMTHQZ362jYxgU5dcatyqEEEKIK4QkeF2AXqdgc9Hpr0ZIAsROgH1LwKF90HQ3\nuDMzbibfZX5HiaXkgtcvq7KRUVBBQtilNXIIMEG2ufKS4+8qXFbwzJngG0mqORVAKnjdjFGva9Rk\nxWZ3UGl11GuyAtoyzcJyLcEL83Wvt0SztKp+BW9C72AA7hoXV/PYQ8MeZFDwIP68+89sSt/Ew8Me\n5qN5HzWZ3AkhhBBCtITswesC9DoFx4WWaAKMvg8+/T84taGmojen5xw+PPYhm9I3Mb/3/EannC+p\nwmTQcfp8KQAJTVTwSN8FSZ9CXjIUnGGLPYtdZ8dC8TvgF3k5t9ap2FWtUlOPOQtCEkkza91EY3xj\nOiAy0VZMBh2V1vrVN+fIg7pLNAHcjbqaql2Enzs/ZhajqiqKolDeYIlmgJfWiGdynxBigzzJKCgn\nyNOHN6e/yXeZ33FVxFUEeQQhhBBCCNHaJMHrAgw6BZuj8TKyehKvAe8w2Lu4JsEbFDyISO9I1qau\nZX7v+fzqf4f47tR5AFQVckuq8HE3MDJWG3/QKMGzVcE3v4b974PJG0L7Qew4tpwoZHzVVnhnCixY\nDL0mt/Ytdwi7w1EzlgLQ3qTiTIifRpo5jSD3IHxM0q6+O4nwcyev1EKl1V7TSMVZjXMOOnfyMOpr\nliaH+7mzL62QSqsDD5OeMosdo15hy6+nUvdbSKdTeHJWIptP5KLTKfi5+TGv17z2uTkhhBBCXJFk\niWYXoLvYHjwAvRFG/B+cXA9ZBwGtA+esuFnsytpFUWUR649m4+9hYmpCKFcnhvL4jL7EBHqy+YSW\n9EUHeNZer/Q8LL1GS+4mPAZPJMN9G+DGd/gqeCHzLX9AdfOBD66DH95voztvX3ZH7VgKAKrMYC0D\n3x6kFqfK/rtuKCZQ+54/W1hR85izI2bdLpqgLdGsqK72Rfhpw8qLqhutlFd33Yz09yDCz6PeefMG\nR/BK9UB0IYQQQoi2JgleF2C42B48p5H3gFcILJkFe/8DqsqcnnOwqTbWnFmHudLGvMERvLhgMC8u\nGMwj0/rwxQPjefmmwfz9p0NqlycWpsEH8yE7CW5eCtNfAJNXzcsEuCkkO6LIvX0DxE2E9c9BeUFb\n3Hq7sjsc6OtOrzZnaV99e9TMwBPdS3R1gpdRUF7zWGkTCZ6bsbaiF16dxDn34ZVW2Rvt2RNCCCGE\n6AjyiaQL0OuUC49JcPIJh/u/hy9+Aasfh5RNJMx/g8TARJYeWQrcT6BX/SHdJoOOn4yM1lpIntoA\nexbDyXWgN8Ft/4VeUxq9TIC7lgRll+sIm/tXSt8az9G3RnI4rA9HPL0xBfSkV2ACE6MmdqkGEnaH\nir7uIDxzJgAlngHkV+ZLBa8bclbw0uskeM4Knk+DBM/DWPv7sJoKXvWevHKLDU9T/SWdQgghhBAd\nQRK8LuCiYxLq8g6F2z+DXW/AhhdQ1jzJw6Mf5sGND2L030uw96jG51SVVjdoWa9VACc8ri339I92\n+RL+bloS9GNOMi/n/oOk2ChUVLBlEZlvo6r4FKvS1rHk8BI+u+4zIr27RiOWSqsDk75OUbu6gpeu\n0957SfC6n2BvEx5GvcsEz9USTacw3/oJXpnFjqeb/HMqhBBCiI4nn0i6AL1OwXapCR5ow9zGPQwV\nhbD9b0wccTfxPgM5ad2Il/v9tceZz8Ged7R9dhWFMPtFbZmnwe2Clw9y16Ez5fDa0f+Ht5s79w+9\nn0HBgxgQ2J+Ag8th3e/IWPA2Nye9xnPfP8fimYtRFOWC1+xoZVU2Mosq6BlcuxTVmeCl2rSh7jIi\noftRFIWYQM96CV5p9Uw774YJnkFL8BQg1Ef7GTFXL9Esq7I1asoihBBCCNERJMHrAgw6BUdzEjyn\nib+CQ5+grHmSKQN+S0rJb1iV8gpjykZjyjoA+5eBrQIS5sK4RyBmzCVd1misxCduGQ6HkeXzltPD\nu0ftk6MWwq63iN75Fo9Peow/7P4jG9I3MCN2RvPjb0fJOdqswHrD3s2Z4BVKWlkmCgrRPq4rmqJr\niw70rLcHzzk2wc1Qf4uye/USTZO+dgzCjpQ8TAYd2cWV9O/h204RCyGEEEI0TRK8LkCnNLOC52Ty\ngpl/gM/uYa6ynMwqB9+wnmPp3/BcUSkje0+DGb+HwF7NuuzqotU49PlUZfyCrDx3/Iy22uVsBhNM\nfhJWPsSNqiefBPTh2e+f5XTRae7sfyeeRs8LX7yDHM92JnjVH9JVFTL2QHBfUs2p9PDugUlvusAV\nRFcVE+jJjpS8mpl2Fps2ksTUIMHzqN5jZ9KDl0lPkJeJLw9m8eVBrdI7o39Y+wYuhBBCCOGCdNHs\nAgz6ZuzBa2jAjTDqPvqc+5rH8it4I3o+Ft8e3B0awJsJY5uV3DlUB+/8+A7bSrYxKew6Kktjuemt\nnby7/XT9A4fcCoG9MOx4nX9M/Qejw0fzr4P/Yu7nc/ni5Bctu482diK7BC+TnqiA6hb35w7C+eMw\n6Catg6Ysz+y2YgI9KLfYyS/TRh5Y7FqC52aov+TS+Xc3vYKiKGx6Ygqb6/z3zLx+7Ru4EEIIIYQL\nkuB1AXqdruUJnqLAvL/xcsIn3Gr8B5Ou/iOf37iKWXGzeOfHd8goybikyxRXFfPwpod5/cDrDPcc\nzp8mP8XASK3alVVUUf9gvQGG3gYZu4nGyD+v/ifL5iwj2iea53Y8x47MHS27lzZ07JyZhHCf2lER\nhz4BvRtq//mkmdOkwUo3FhNUv5NmUxU8Z5MVZ7NMPw8jPYO9av4z6OWfUyGEEEJ0PPlE0gUYmtNF\nswknLcF4ePsB4Gn05MlRT6JX9Lx96O2LnptXkcdPV/2UHVk7+N2Y3/Gz4J/h7+HNqocn0jfMu2YW\nWD2J12hfj68GYGjoUBbPWkxPv548u+NZThefbnxOB1FVlePZJSQ4l2farZD0GSTMJl9xUGYtkwSv\nG4tpMAvPYnOg1yn1h95TuwfPTde5GwYJIYQQ4somCV4XoFcUbA7HZV2joKyKIO/aPWShnqHcmngr\nK1NWknQ+6YLnrkxZSWZpJotnLubWxFvrdcQM9DJRUL20rZ6QRAiMh2Mrax5y07vx0sSXsDls3LH6\nDnac3cc721JYviedzSdyWfVjFnf+Z3e9hhdtSVVV5v1zO69vOkVxhZV+EdUNVk5thPI8GHIrqcWp\ngHTQ7M6iAqorePnVCZ69wbiMah4NKnhCCCGEEJ2RNFnpApo1B68J+WUWhgT413vsF0N+wTdnvuGl\nvS/x4dwPmzx3Xeo6BgYNZETYiEbPBXm5cSzbXPP3+97fR78IH341MwEG/wS2/AXyUyAoHoB+Qf1Y\nPm85C79dyMObH6A4/UZsJQPRms9r9qUVEB3Y9s1YcsxVHMkyk1b9wT4hrDrBO7QcPIOg93TSUrQE\nNdZPKnjdlbtRT5ivW70lmg2XZzqPAzDppYInhBBCiM5LKnhdgEF/+RW8/FILgV71u0B6m7y5d9C9\nHDp/iGP5x1yel1GSwdH8o8yKm+Xy+SBvE/mlWgUvOaeEDcdy+CGtUHtyxN2gM8KO17WulNV6ePdg\n6eyl+Bui8Ij6iMSR/+aO2cd58poAAMot9su610t1Jk+bb1daPdg6MdxXmwd4Yg0Muhn0RtLMaZh0\nJsI9w9slJtEx6s7Cq2oywateoikVPCGEEEJ0YpLgdQE65fIqeJVWO6VVNoK9G7f5v6bXNbjp3Vhx\ncoXLc5ceXopBMTC752yXzwd6mSiusGK1O/h0n9awpbC8ek+eT5jWbOWH9+Cjm6Ggdt9diGcIo92f\nQcm/mSifCFamvc+/U36OKWgzFe2U4KXml9X8uYefO36eRjjyJdirYMgt2jHmVGJ8Y9Dr5FN9d1Z3\nFp7F5nqJplTwhBBCCNEVSILXBRh0LZyDV825Ry7I263Rc35ufsyMncnq06spt9bf+5ZhzuDzk59z\nU9+bCPdyXcEKqq4Kni+p4vP9mQAUldfZkzfvVZj1F0jfCW9cBd/9veap82YHPXRTWDxrMRtv3sjs\nuDm4ha4jqWhbi++1OVLzahO8BOeA88MrIDgBIoYCSAfNK0RMoCfnzJVU2exY7I5GQ86hcRdNIYQQ\nQojOSBK8LuBy9+A5E7yGSzSdFvRdQKm1lHWp6+o9/vHxj0GBRYMXNXltZ9L42Q9nyS+z0DvUu37T\nFb0Bxj4AD+2FPjNgwwtw+HMAcsyV9PM0w6mNhPy4ghdzcoi3WEkqWIJDvbwlqZfiTF4ZfUK9GRLt\nz5SEUO3BvGSIHgWKgt1hJ70kXRK8K0BMoCeqCpmFFVhs9gvuwXOTfzWFEEII0YnJR5Uu4HITvLzS\nKgCXSzQBhocOp6dfTz489iFFlUUAVNoq+SrlK2bEzCDEM6TJazuTxqU7UgnxceP6oT2osjkaL7P0\n7QE3vw+RI+Gzu3G82p8XCp7k71m3w4c3wtrfoD+9hVuLbJynkI1n1rl4tdaVml9GXLAXXz04np+N\niwObBUpzwTcKgKyyLGwOm3TQvAI4RyWkF5Q33WSl+jFZoimEEEKIzkwSvC6g9Sp4jZdoAiiKwoND\nH+R08WluWHkDWzK28Gnyp5RYSrg54eYLXtu5RLOgzMKNwyMJrq7oFZS7GJ2gN8AtH3Og9wNsLAwn\nzJHD9zG/gP9bDU+chN+ksqfqXqKsVpbt+3vj81uRw6GSml9Oz2Cv2gdLsgAV/LQEL82cBiAVvCtA\n3Vl4TY5JqF6bKU1WhBBCCNGZyZiELsCgU7CrLU/wnF0ug5qo4AHMiptFrG8sT3/3NA9vehi9omd8\n5HhGho284LXr7uu7eUQ0p3JLASgssxDp79H4BJ8w/mW7kY3WCQD8ecAgxsfF1Dx90P0qrin/nCXG\ncxw5t48BERd+/ZbKKq7AYnMQF1QnwSvW9hDiFwlIgnclCfFxw82gI72gnCqrjEkQQgghRNfV5hU8\nRVH0iqIcUBRlVfXfAxVFWa8oysnqrwFtHUNXp9fpsNkvI8Ers2DUK/i4XTifTwxM5JN5n7Bo8CIG\nBA3gj+P/WG+ouSv+HkZ0CoyIDaB3qHfNks1CVxW8ahH+7jV/DverX1X0dDNSZLwXT4eDD3f88WK3\n1mKpeVpDmbjgOvP2zNUJXvUSzdTiVHyMPgS6B7ZZHKJzUBSlZlSCxe46wfN0VvDk12JCCCGE6MTa\nY4nmo0DdIWtPARtVVe0DbKz+u7gAk0FHla35TUdUVeW3nyex5vA5grzcLpqsARj1Rh4e9jAfzfuI\nYI/gix6v0yk8Nr0vv5mdCECApxGoMyrBhaI6z4V4u9d7zsOk57huCDfo/FlbcorzJZkXjeFSVVpr\n9wWeqR6RUG+JZvFZ7atfJJW2Sjalb2JA8IBLet9E16cleBVNjkmI9PfgzzcMYmSYZHhCCCGE6Lza\nNMFTFCUKmAcsrvPwfOD96j+/D1zfljF0Bx5GPRUWW7PPS84pZfmedNLyy5vsoNkaHp7Wh9E9tSpX\ngLOCV9Z0Ba+w3IJepzC2VxC9Q73rPedp0lNhtXPbiEdwAL9a+VPOF6dfdoxp+WUkPruWZbu0ZZep\neWW4G3WE+dRJMM2Z4O4PJi+WH19ObkUuPx/888t+bdE1OGfhNdVkRVEUbhsTg5dREn4hhBBCdF5t\nXcF7DXgSqFt+ClNV9Vz1n7OBsDaOocvzNOkpt9pRL7IP71RuSb1mLDtS8mr+7OdhbLP46vL3cFbw\nmk7wCsqsTE0IZfmiq2oaVzh5mvSUW+zEDPgJL/oN47ilkJ98Po/9h95v4mqXJjlH2xv47JeHKS63\nkppXRlyQFzpdnQ/rxZngF4XZYmZx0mImRE5gZHjb7AEUnZ2vXuMAABP2SURBVE+EnzulVTYKyy0u\nEzwhhBBCiK5AuVjS0OILK8o1wFxVVR9QFGUK8ISqqtcoilKkqqp/neMKVVVttA9PUZRFwCKAsLCw\nEZ988kmj1ygtLcXb27vR493NqhQLn5208s4MzyYbPKSZ7Ty/o5JAd4Xr4o0MCNLz8XELB3PtqECg\nu8KrUzxdnttcF3vfH9hQxtgeBu7s77pr52ObyxkYrOfeQY2ff/fHKo4X2PlbdawleVv4d/FnnNPD\nI/ph9Iy+t0Uxb8mwsvSIlnQuHGTi69NWIr11PDystoI3cu8jVLmF8JfoYawzr+PJiCeJNkW36PXa\n0pXyfd/eNqVb+eCoBQWYFGXg7oGuv3/l/e848t53HHnvO5a8/x1L3v+OI+99fVOnTv1BVdWLVh/a\ncjPJeOA6RVHmAu6Ar6IoHwI5iqJEqKp6TlGUCCDX1cmqqr4DvAMwcuRIdcqUKY2O2bJlC64e727O\nGM/w2cmjjLxqfJNLLVf9mAU7DlBQqdYkMgDXDunB14eySIwMZMqUq1olnou97yF7N+MV4M+UKcMa\nPaeqKmUb1tK/dwxTpvRr9PzGosMcLcqqc/0pTCm9n4WfzeVD6wHWXDUck7tvs2Pevz4ZjpwEwCss\nlvyjp7h+ZBxTpmh7B8nYC1vSqBxzO9syVjA7bjZ3Tr6z2a/THq6U7/v2VnQgkw+OHkQF4qIjmTJl\noMvj5P3vOPLedxx57zuWvP8dS97/jiPvfcu02TokVVV/q6pqlKqqccAtwCZVVe8AVgI/qz7sZ8BX\nbRVDd+Hs3ld+gX14OWZtmPmBZ2ew4fHJ/P66AVw/tAc/n9SLlQ+N543bhrdLrABRAR5sOZHL7tP5\njZ4rt9ix2BwEerpOVJ1LNOvy8Q7jkUGLyNUrfLX9hRbFlGuuJMTHjWBvE/tSC7HaVXrW7aC59SXw\nCOBdQxUWu4WHhj3UotcRXZdXnfaYskRTCCGEEF1VR3yKeRGYoSjKSWB69d/FBXiYtA+eFQ0Sn7py\nzZWYDDr8PY30DvXmZ+PieO2WYQyM9GNwlH9N85P28JcbBuPjbuSv6040es45dD2giQTPw6SnyuZo\nNNh97LCFDHDoWZKxHpu1otkx5ZgrCfN1I8LPg72pBQC1M/BObYBT62HcI2zI3Mq0mGky++4K5FVn\ngrkkeEIIIYToqtrlU4yqqltUVb2m+s/5qqpOU1W1j6qq01VVLWiPGLoyT6Ozgtd0gpddncB0hpb+\nMUGeDI3xp8BFoxVn85WmEs6mqpWKTsfCxDs4q4c1255vdkw55irCfNzp4e9eM3KiZ7AXVJXAN09C\nYDxFw28ntzyXgcGul+aJ7s27bgVPr7/AkUIIIYQQnZf8mroLqE16mk7wcsyVhPu6N/l8e/N1N2Ku\naDwLz1nBC/Ry3dXzQtXKqWMeo7dDz3/S1uCwN29sRG5JJaG+7kT4eQDgZdITYqqCFQuhMBWu+ycn\nS7RxDH0D+jbr2qJ78JYlmkIIIYToBuRTTBfgHCVQYW06qck1VxHaiRI8Pw8j5gpbo9EONRW8pvbg\nXaBaqdPpuS/+elL0sGnPqxd8/YyCcr46mMnvvz7Cfe/vJa/UQpivG5H+HoDK7T4HUP41GpLXwuy/\nQNwEkguTAUgITGju7YpuQBI8IYQQQnQHbdlFU7QSz+qq1n/3ZvDe96ksu3dMvedVVSXbXMmUhNCO\nCM8lXw8DFruDSquj3qy7/FJnBc91gufcB9VUtXLW2N/w5qnPeCP5EyaPeQyjrnEl8MsDmfzyvwcB\ncDfqqLRqSzITSGPEkX8wypTJ0LLTED4IbvkYokYAcKLgBIHugQS5B7XwrkVXJk1WhBBCCNEdyKeY\nLsC5RHPLifNsP5nXqCpWWmWj3GIn3M/13K6O4BysXtxgmebaw9lEBXg0OXi9ZolmE9VKg9GDxyOn\ncworr3/3PGXWskbHrD+aQ5ivG6sfmcDhF2YxNSGEibofmbnjdgKKj6FDZVPcY7BwS01yp6oqR/KP\n0CegT6fYxyjan6dJj/N/vZte/mkUQgghRNckFbwuwFkBczYHqbI5cDfWVsWcIxLCOtkSTQBzpZVw\nPy2uA+mF7Esr5Llr+jeZRF3KfsOrJzzLjA++4b0zX7P8zCqm6AOYqQthSlBf9BHDcU85zANBp7F+\n/x77y/P4v6p8HP5ZnPKNJ+D6j7jt3yd5/aphoK/99t+YvpHkwmR+N+Z3rfUWiC5GURS8TAZKq2xS\nwRNCCCFElyUJXhfgaarf0a/CYv//7d19bF11Hcfxz7f3ob1t91DadbK1G3tggMhGBRUWH3hIdBID\nITii8g8BjSKiUSNqMMYEjfMxMdFIxBgNIkpACWggqBFF3GBgt7FNRLaOdZuytaPb2q3PP/8453a3\n5d7d2957eu45fb+Sm/XennP7O5/e/na/9/x+vzOpwDvY5102oJoKvPl1k8/g7e89qTse6FRTfUo3\nvq294H6ZElYMtYZmfW/dZ7R916/0ezulx8d79UTNUbUc2K2OPb/R5vY6PVlTI53MPqmkTLOkfiWf\nvEFf+fCXdOX5p4ez9p7q1abnNmn1wtXauGZjWceNaGuoTVDgAQCASKPAi4C65JQCb2RMTTn3XzzQ\nJ0m64Oz5s9iqM5s4g3dqRHuO9Oume5/V4OiY7rvlHZMWs5iqlIu6S5Ktv10Xr79dF0vafs/Teq1n\nsw43bdZTmf+p7vgSffmqm7T8rMVKJ9KqTXhDVw/2H9Qjrzyibzz7dX33+e9ozI3JOae6ZJ1Gx0f1\ngyt/oGQNfxJzmTcPb0hphmgCAICI4t1sBNTUmDKphE6NeGe1sv9mbevu0+rWxoLz2sKQbcvzr76u\nLz68Q5L0wMcuK1qEvmlBnZI1pv+81l/yz9rXO6Trz3ufDh17t555uVe3X7lKH7no/Ddst3bRWl29\n7Grdt/s+HRs6phrz3sR3n+jWNSuu0YUtF5b8MxFP2Q8fOIMHAACiigIvIurTOQVezvBF55w69/dN\nGnJYDeb7Bd6Pn9qjhfUpPfSJ9Vrd2lh0v/p0UmvbFmjz3t6Sfs6JwREdOTGkFYsadOeG87XjQJ+u\nOkMW6URat150a2kHgTmnIU2BBwAAoo13MRGRe6mBwZwzeN1HT6l3YFgdyxaG0ayC5ted/uxg/arm\nkoq7rMtXNWvHgWPqHyp+MfN9Pd5Eu5UtDVo0r1ZXX7CYVTAxYw2cwQMAABHHu5iIyF1oJXeIZmf3\n65KkjvamN+wTpmSiRjV+nXXe4unNDbx8ZYvGxp227jtadNu9Pd5QzhUtpReQQCGN/nUYmYMHAACi\nincxEZG9Ppw0eYhm5/4+1acTWrO4+gqccf9yfee9aXptu2R5k1IJ05Y9xYdpdvUMyExa3lw/kyYC\nk2TP4NVyBg8AAEQU72Iioj5V6Axen9a2LVCyis84rFk8b1rbZ9IJdbQ36R8lFnhLFmQmXTYCmCkW\nWQEAAFHHu5iIqM8zB29wZEy7Dx3TxVU2PHOq5c0N097nslXN2nXo2MR19Arp6hnQykXTf34gH+bg\nAQCAqONdTETkLrKSHaK569BxjYy5qltgJWtt2wJJUqJm+oueXL6yWeNO2vT4S/r5M1166IUDOnJi\naNI2zjl1HRnQihYKPFTGwnpv9df6FAsMAwCAaOJdTERMXmRlXJLUuT+7wEp1FngP37ZeY9mJeNPU\nsWyh2s/K6IHn9k889sFL2vTdjesm7vf0D+vE0CgFHirm+o6lam+q14L66rmmJAAAwHRQ4EVEW1O9\nVrQ0qKtnYGIOXmd3n5YuzKh1fl3IrcsvlajRTKfG1aUSevrOqzQ0Oqb+wVF99sHtEwVtVlfPgCRR\n4KFi5tWlqu6akgAAANPBEM2IuO2KVfr9He9UJpWYmIO3bX9f1Q7PrJTaZELNjbW6dHmT9hwZ0PHB\n03PyuvxLJKzkEgkAAACAJAq8yEglatRQm1QmndCp4TEdPj6og32ndHGVDs+stHX+cT62/ZBeOz4o\nSdrbM6BUwrS0KRNm0wAAAICqQYEXMZlUQqdGxtTZ3SdJ6lhW3StoVsrapd6CLXf9bqc+9+A2SVLX\nkQEtb26Y0SIuAAAAQBxR4EVMXarGK/D29ymVMF24ZH7YTZoVTQ1pXXC2d6w7Dx6X5M3BY/4dAAAA\ncBoFXsRk0gkNDo+pc//revOSBXPqAt8PfeJyffw9KzUwNKrh0XG92ntSKynwAAAAgAkUeBGTSSV0\nYmhULx48VrWXRwhKQ21SqxY1anTcaeu+oxoeG+cMHgAAAJCDAi9i6lIJ7T50XCeHx2K/gmY+2YLu\nz/86POk+AAAAAAq8yMmkEuofGpUkdbTPjQVWcp3T7BV0f/m3X+AtosADAAAAsijwIiaT9ubcNTek\n1X7W3Ls8QEtjWo21SXX1DKixNqlFjbVhNwkAAACoGhR4EZPxF1XpWLZQZnPv8gBmplWt3oXNV7U2\nzskMAAAAgEKSYTcA05NdNXOuXOA8n+9tXKdt3X1zOgMAAAAgHwq8iMkO0ZwrFzjPZ3Vro1b7Z/EA\nAAAAnMYQzYhpbkgrnazR2rYFYTcFAAAAQJXhDF7EfOQdy3TFea2aV5cKuykAAAAAqgxn8CKmPp1k\neCIAAACAvCjwAAAAACAmKPAAAAAAICYo8AAAAAAgJijwAAAAACAmKPAAAAAAICYo8AAAAAAgJijw\nAAAAACAmKPAAAAAAICYo8AAAAAAgJijwAAAAACAmKPAAAAAAICYo8AAAAAAgJijwAAAAACAmKPAA\nAAAAICYo8AAAAAAgJijwAAAAACAmKPAAAAAAICYo8AAAAAAgJijwAAAAACAmKPAAAAAAICbMORd2\nG4oysyOSXs3zrRZJPbPcHJB72Mg/XOQfHrIPD9mHi/zDRf7hIfvJljvnFhXbKBIFXiFm9rxz7tKw\n2zHXkHu4yD9c5B8esg8P2YeL/MNF/uEh+5lhiCYAAAAAxAQFHgAAAADERNQLvJ+E3YA5itzDRf7h\nIv/wkH14yD5c5B8u8g8P2c9ApOfgAQAAAABOi/oZPAAAAACAryoKPDP7mZkdNrOdOY99x8xeMrMd\nZvY7M1s4ZZ8XzKzWzL5hZt1m1l/guW8wM2dmrMCTh5ltMLN/m9krZvYl/7G7/dy3mdmTZrZkyj5n\nzN7MbjazI/7+28zso7N5TFGSL3//8Tv81/8uM/v2lH3Iv0IKvP7XmdlmM3vRzB4zs/lT9iH/MgXR\n55N76YLo9/1tbjSz3X6/9avZOp6oCaLf97ch/xIE0e/725D/GQTR7/vbkHs+zrnQb5LeLemtknbm\nPPZeSUn/629J+lbO91ZIetT/+jJJZ0vqz/O88yT9TdIWSZeGfZzVdpOUkLRH0kpJaUnbJb1Z0vyc\nbT4t6Z7pZC/pZkk/DPv4qv12hvyvlPQnSbX+dq3kP6v5b5X0Hn+bWyTdTf4Vz77ifT65l5x9UP3+\nuZI6JTX591uDPI6o3gLs98m/vPzL7ffJv3j2QfT75F7gVhVn8Jxzf5N0dMpjTzrnRv27WyS15Xx7\ng6Qn/O22OOf+W+Cp75b3ghmsbItj4+2SXnHO7XXODUv6taTrnHPHc7ZpkJQ7UbPU7FFc3vwl3SZp\nk3NuSJKcc4dz9iH/yimU/xp5HwxJ0h8l3ZCzD/lXQIB9PooLqt//mKQfOede97c7nGcbBNfvk39p\ngur3yb+IgPp9ci+gKgq8Etwi6fGc+xO/9ELM7K2S2p1zfwiyYRG3VFJ3zv0D/mPKng6XdJOkr+Zs\nUzR73w3+UIeHzKy9Ug2OmUL5r5H0LjN71sz+amZvy9mG/CunUP675P2HL0kbJeXmR/6zY9p9vo/c\niwuq318jaY2ZPWNmW8xsQwXbHCdB9fvkX5qg+n3yL99M+n1yL6DqCzwzu0vSqKT7/ftpSW3Oub1n\n2KdG0vclfX5WGhlDzrm7nHPt8nL/lFRa9r7HJJ3jnLtI3idhvwi0sfGTlHSWvCEJX5D0oHnIf3bc\nIumTZvaCvGHewxKv/9kykz7fR+5lKrPfT8obLnWFpA9LunfqfBqcUbn9PvmXp9x+n/zLUEa/T+4F\nVHWBZ2Y3S/qApJucc9nhIu+S9Pciu86T9BZJT5nZPnkd5qPGQitTHdTkT6na/Mdy3a/TQxVKyV7O\nud7sMBNJP5V0SZntjKtC+R+Q9FvneU7SuKQWkX+l5c3fOfeSc+69zrlLJD0gb76GRP6BK6PPJ/fS\nBdLvy+u3HnXOjTjnuiS9LO+NFyYLpN8X+ZcqkH5f5D9j5fT7IveCqrbA80+z3inpWufcyZxvbdDk\nU7hv4Jw75pxrcc6d45w7R9643mudc88H1uBo2irpXDNb4X9a8iF5hXDuH8d1kl7yvy6avSSZ2dk5\nd6+V9K8KtTdu8uYv6RF5E+5lZmvkTQTvEflXWqHXf6s0MRLgK5Lu8bcn/wCV0+f7+5N7aQLp9+X1\nW1dIkpm1yBs6VezT97kokH5f5F+qQPp9kf+MlNvvi9wLm86KLEHd5H1a8l9JI/Kq8VslvSJvnPQ2\n/3aPv+1WSZmcfb/t7zPu//u1PM//lFhFs1D218j7xGOPpLv8xx6WtFPSDnnDnpZOJ3tJ35Q3nn27\npL9IOj/s46zWW4H805J+6f8O/inpKvKf1fw/4z/2sqRNkoz8K557xft8cp9W/kH0+yZvasRuSS9K\n+lDYx1mtt4D6ffIvL/9y+33yL557EP0+uRe4ZV/AkWBmbZLudc69P+y2zDVkHy7yDxf5h4Pcw0X+\n4SL/cJF/OMi9MiJV4AEAAAAACqvaOXgAAAAAgOmhwAMAAACAmKDAAwAAAICYoMADAAAAgJigwAMA\nAACAmKDAAwAAAICYoMADAAAAgJj4P+AVbdKtnJUAAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x21b556f0be0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Using Pandas to calculate a 20-days span EMA. adjust=False specifies that we are interested in the recursive calculation mode.\n",
    "ema_short = data.ewm(span=20, adjust=False).mean()\n",
    "\n",
    "fig = plt.figure(figsize=(15,9))\n",
    "ax = fig.add_subplot(1,1,1)\n",
    "\n",
    "ax.plot(data.ix[start_date:end_date, :].index, data.ix[start_date:end_date, 'MSFT'], label='Price')\n",
    "ax.plot(ema_short.ix[start_date:end_date, :].index, ema_short.ix[start_date:end_date, 'MSFT'], label = 'Span 20-days EMA')\n",
    "ax.plot(short_rolling.ix[start_date:end_date, :].index, short_rolling.ix[start_date:end_date, 'MSFT'], label = '20-days SMA')\n",
    "\n",
    "ax.legend(loc='best')\n",
    "ax.set_ylabel('Price in $')\n",
    "ax.grid()\n",
    "ax.xaxis.set_major_formatter(my_year_month_fmt)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## A Moving Average Trading Strategy\n",
    "\n",
    "Let us attempt to use the moving averages calculated above to design a trading strategy. Our first attempt is going to be relatively straghtforward and is going to take advantage of the fact that a moving average timeseries (whether SMA or EMA) lags the actual price behaviour. \n",
    "\n",
    "Bearing this in mind, it is natural to assume that when a change in the long term behaviour of the asset occurs, the actual price timeseries will react faster than the EMA one. Therefore, we will consider the crossing of the two as potential trading signals. \n",
    "\n",
    "1. When the price timeseries $p\\left(t\\right)$ crosses the EMA timeseries $e\\left(t\\right)$ from below, we will close any existing short position and go long (buy) one unit of the asset. \n",
    "\n",
    "2. When the price timeseries $p\\left(t\\right)$ crosses the EMA timeseries $e\\left(t\\right)$ from above, we will close any existing long position and go short (sell) one unit of the asset. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<img src=\"http://www.learndatasci.com/wp-content/uploads/2017/07/Moving-Average-Price-Crossover-Illustration.png\" />"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "How is this translated to the framework described in our previous article about the weights $w\\left(t\\right)$? \n",
    "\n",
    "Well for this strategy it is pretty straghtforward. All we need is to have a long position, i.e. $w_i\\left(t\\right)$ >0, as long as the price timeseries is above the EMA timeseries and a short position, i.e. $w_i\\left(t\\right)$ < 0, as long as the price timeseries is below the EMA timeseries. \n",
    "\n",
    "Since, at this point, we are not interested yet in position sizing, we will assume that we use all our funds available to trade asset $i$. We will also assume that our funds are split equally across all $3$ assets (MSFT, AAPL and ^GSPC).\n",
    "\n",
    "Based on these assumptions, our strategy for each of the assets $i, i = 1, \\ldots, 3$ can be translated as follows:\n",
    "\n",
    "+ Go long condition:     If $p_i\\left(t\\right) > e_i\\left(t\\right)$, then $w_i\\left(t\\right) = \\frac{1}{3}$\n",
    "+ Go short condition:    If $p_i\\left(t\\right) < e_i\\left(t\\right)$, then $w_i\\left(t\\right) = -\\frac{1}{3}$\n",
    "\n",
    "Whenever, the trade conditions are satisfied, the weights are $\\frac{1}{3}$ because $\\frac{1}{3}$ of the total funds are assigned to each asset and whenever we are long or short, all of the available funds are invested.\n",
    "\n",
    "How is this implemented in Python? The trick is to take the sign of the difference between then price $p_i\\left(t\\right)$ and the EMA $e_i\\left(t\\right)$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>AAPL</th>\n",
       "      <th>MSFT</th>\n",
       "      <th>^GSPC</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2016-12-26</th>\n",
       "      <td>2.039488</td>\n",
       "      <td>1.040200</td>\n",
       "      <td>20.465712</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2016-12-27</th>\n",
       "      <td>2.511890</td>\n",
       "      <td>0.977103</td>\n",
       "      <td>23.121693</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2016-12-28</th>\n",
       "      <td>1.822235</td>\n",
       "      <td>0.623249</td>\n",
       "      <td>3.765377</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2016-12-29</th>\n",
       "      <td>1.621664</td>\n",
       "      <td>0.482954</td>\n",
       "      <td>2.809706</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2016-12-30</th>\n",
       "      <td>0.647437</td>\n",
       "      <td>-0.246519</td>\n",
       "      <td>-6.894490</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                AAPL      MSFT      ^GSPC\n",
       "2016-12-26  2.039488  1.040200  20.465712\n",
       "2016-12-27  2.511890  0.977103  23.121693\n",
       "2016-12-28  1.822235  0.623249   3.765377\n",
       "2016-12-29  1.621664  0.482954   2.809706\n",
       "2016-12-30  0.647437 -0.246519  -6.894490"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Taking the difference between the prices and the EMA timeseries\n",
    "trading_positions_raw = data - ema_short\n",
    "trading_positions_raw.tail()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>AAPL</th>\n",
       "      <th>MSFT</th>\n",
       "      <th>^GSPC</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2016-12-26</th>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.333333</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2016-12-27</th>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.333333</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2016-12-28</th>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.333333</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2016-12-29</th>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.333333</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2016-12-30</th>\n",
       "      <td>0.333333</td>\n",
       "      <td>-0.333333</td>\n",
       "      <td>-0.333333</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                AAPL      MSFT     ^GSPC\n",
       "2016-12-26  0.333333  0.333333  0.333333\n",
       "2016-12-27  0.333333  0.333333  0.333333\n",
       "2016-12-28  0.333333  0.333333  0.333333\n",
       "2016-12-29  0.333333  0.333333  0.333333\n",
       "2016-12-30  0.333333 -0.333333 -0.333333"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Taking the sign of the difference to determine whether the price or the EMA is greater and then multiplying by 1/3\n",
    "trading_positions = trading_positions_raw.apply(np.sign) * 1/3\n",
    "trading_positions.tail()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### One Final Caveat\n",
    "Before seeing the performance of this strategy, let us focus on the first day $t_o$ when the price timeseries $p\\left(t_o\\right)$ crosses above and EMA timeseries $e_i\\left(t_o\\right)$. Since $p\\left(t_o\\right) > e_i\\left(t_o\\right)$. At that point the trading weight $w_i\\left(t_o\\right)$ becomes positive, and thus according to our trading strategy, we need to set for that day $w_i\\left(t_o\\right)=\\frac{1}{3}$. \n",
    "\n",
    "However, bear in mind that $p\\left(t_o\\right)$ is the price of the asset at the close of day $t_o$. For this reason, we will not know that $p\\left(t_o\\right) > e_i\\left(t_o\\right)$ until the close of the trading day. Therefore, when calculating the returns of the strategy, to assume that on day $t_o$ we had a long position is an error; it is equivalent to us peaking into the future, since we only know we have to go long at the end of day $t_o$. \n",
    "\n",
    "The best we can do is assume that we traded at the close of this day $t_o$. Therefore our position will be long starting on the following day, $t_o + 1$. This is easily corrected for by lagging our trading positions by one day, so that on day $t_o$ our actual position is that of the previous day $t_o - 1$ and only on day $t_o + 1$ do we have a long position. Thus:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Lagging our trading signals by one day.\n",
    "trading_positions_final = trading_positions.shift(1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let us examine what the timeseries and the respective trading position look like for one of our assets, Microsoft."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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JPRr1GU6mFxHk7kBaYQXrj6Yzd1wXAFILyglyd6B3kBvrj2Uw7F/bGN7Zm8dH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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1bd2455a0b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(15,9))\n",
    "ax = fig.add_subplot(2,1,1)\n",
    "\n",
    "ax.plot(data.ix[start_date:end_date, :].index, data.ix[start_date:end_date, 'MSFT'], label='Price')\n",
    "ax.plot(ema_short.ix[start_date:end_date, :].index, ema_short.ix[start_date:end_date, 'MSFT'], label = 'Span 20-days EMA')\n",
    "\n",
    "ax.set_ylabel('$')\n",
    "ax.legend(loc='best')\n",
    "ax.grid()\n",
    "ax.xaxis.set_major_formatter(my_year_month_fmt)\n",
    "\n",
    "ax = fig.add_subplot(2,1,2)\n",
    "\n",
    "ax.plot(trading_positions_final.ix[start_date:end_date, :].index, trading_positions_final.ix[start_date:end_date, 'MSFT'], \n",
    "        label='Trading position')\n",
    "\n",
    "ax.set_ylabel('Trading position')\n",
    "ax.xaxis.set_major_formatter(my_year_month_fmt)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now that the position our strategy dictates each day has been calculated, the performance of this strategy can be easily estimated. To that end, we will need again the log-returns of the three assets $r_i\\left(t\\right)$. These are calculated as: "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>AAPL</th>\n",
       "      <th>MSFT</th>\n",
       "      <th>^GSPC</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2000-01-03</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-04</th>\n",
       "      <td>-0.088078</td>\n",
       "      <td>-0.034364</td>\n",
       "      <td>-0.039099</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-05</th>\n",
       "      <td>0.014528</td>\n",
       "      <td>0.010489</td>\n",
       "      <td>0.001920</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-06</th>\n",
       "      <td>-0.090514</td>\n",
       "      <td>-0.034072</td>\n",
       "      <td>0.000955</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-07</th>\n",
       "      <td>0.046281</td>\n",
       "      <td>0.012984</td>\n",
       "      <td>0.026730</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                AAPL      MSFT     ^GSPC\n",
       "2000-01-03       NaN       NaN       NaN\n",
       "2000-01-04 -0.088078 -0.034364 -0.039099\n",
       "2000-01-05  0.014528  0.010489  0.001920\n",
       "2000-01-06 -0.090514 -0.034072  0.000955\n",
       "2000-01-07  0.046281  0.012984  0.026730"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Log returns - First the logarithm of the prices is taken and the the difference of consecutive (log) observations\n",
    "asset_log_returns = np.log(data).diff()\n",
    "asset_log_returns.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note that our strategy trades each asset separately and is agnostic of what the behaviour of the other assets is. Whether we are going to be long or short (and how much) in MSFT is in no way affected by the other two assets. With this in mind, the daily log-returns of the strategy for each asset $i$, $r_{i}^s\\left(t\\right)$ are calculated as\n",
    "\n",
    "\\begin{equation}\n",
    "r_{i}^s\\left(t\\right) = w_i\\left(t\\right) r_i\\left(t\\right)\n",
    "\\end{equation}\n",
    "\n",
    "where $w_i\\left(t\\right)$ is the strategy position on day $t$ which has already been attained at the end of trading day $t-1$. \n",
    "\n",
    "What does this mean? \n",
    "\n",
    "Assume that $p\\left(t\\right)$ crosses above $e_i\\left(t\\right)$ sometime during the trading session on Monday, day $t-1$. We assume that at the close on Monday we buy enough units of asset $i$ to spend $\\frac{1}{3}$ of our total funds, that is $\\$\\frac{N}{3}$ and that the price we bought at is $p\\left(t-1\\right) = \\$10$. Let us also assume that on Tuesday, day $t$, the price closes at $p\\left(t\\right) = \\$10.5$.  Then our log-return for asset $i$ on Tuesday,  is simply \n",
    "\n",
    "$$ \\frac{1}{3} \\times \\log \\left(\\frac{$10.5}{\\$10} \\right) \\simeq \\frac{0.049}{3}$$\n",
    "\n",
    "The actual return $r_{\\text{rel}, i}^s\\left(t\\right)$ is \n",
    "\n",
    "\\begin{equation}\n",
    "r_{\\text{rel}, i}^s\\left(t\\right) = w_i\\left(t\\right) \\times \\left[\\exp \\left(r_i\\left(t\\right)\\right) - 1 \\right] = \\frac{0.05}{3}\n",
    "\\end{equation}\n",
    "\n",
    "In terms of dollars, on Tuesday, day $t$, we made $N \\times r_{\\text{rel}, i}^s\\left(t\\right) = \\$ \\frac{0.05N}{3}$.\n",
    "\n",
    "To get all the strategy log-returns for all days, one needs simply to multiply the strategy positions with the asset log-returns. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>AAPL</th>\n",
       "      <th>MSFT</th>\n",
       "      <th>^GSPC</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2016-12-26</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2016-12-27</th>\n",
       "      <td>0.002110</td>\n",
       "      <td>0.000211</td>\n",
       "      <td>0.000749</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2016-12-28</th>\n",
       "      <td>-0.001424</td>\n",
       "      <td>-0.001531</td>\n",
       "      <td>-0.002797</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2016-12-29</th>\n",
       "      <td>-0.000086</td>\n",
       "      <td>-0.000477</td>\n",
       "      <td>-0.000098</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2016-12-30</th>\n",
       "      <td>-0.002609</td>\n",
       "      <td>-0.004052</td>\n",
       "      <td>-0.001549</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                AAPL      MSFT     ^GSPC\n",
       "2016-12-26  0.000000  0.000000  0.000000\n",
       "2016-12-27  0.002110  0.000211  0.000749\n",
       "2016-12-28 -0.001424 -0.001531 -0.002797\n",
       "2016-12-29 -0.000086 -0.000477 -0.000098\n",
       "2016-12-30 -0.002609 -0.004052 -0.001549"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "strategy_asset_log_returns = trading_positions_final * asset_log_returns\n",
    "strategy_asset_log_returns.tail()  "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Remembering that the log-returns can be added to show performance across time, let us plot the cumulative log-returns and the cumulative total relative returns of our strategy for each of the assets."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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N5B/38M/p6Ou61+GIeJ5bcsCYDOZpO2MNz+bOv/3qvm5MG96aoDYNyhd4FavuPYTLgSlK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\nRK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1bd23f835f8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Get the cumulative log-returns per asset\n",
    "cum_strategy_asset_log_returns = strategy_asset_log_returns.cumsum()\n",
    "\n",
    "# Transform the cumulative log returns to relative returns\n",
    "cum_strategy_asset_relative_returns = np.exp(cum_strategy_asset_log_returns) - 1\n",
    "\n",
    "fig = plt.figure(figsize=(15,9))\n",
    "ax = fig.add_subplot(2,1,1)\n",
    "\n",
    "for c in asset_log_returns:\n",
    "    ax.plot(cum_strategy_asset_log_returns.index, cum_strategy_asset_log_returns[c], label=str(c))\n",
    "\n",
    "ax.set_ylabel('Cumulative log-returns')\n",
    "ax.legend(loc='best')\n",
    "ax.xaxis.set_major_formatter(my_year_month_fmt)\n",
    "ax.grid()\n",
    "\n",
    "ax = fig.add_subplot(2,1,2)\n",
    "\n",
    "for c in asset_log_returns:\n",
    "    ax.plot(cum_strategy_asset_relative_returns.index, 100*cum_strategy_asset_relative_returns[c], label=str(c))\n",
    "\n",
    "ax.set_ylabel('Total relative returns (%)')\n",
    "ax.legend(loc='best')\n",
    "ax.grid()\n",
    "ax.xaxis.set_major_formatter(my_year_month_fmt)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## What is the Total Return of the Strategy? \n",
    "\n",
    "Strictly speaking, we can only add relative returns to calculate the strategy returns. Therefore $$ r_{\\text{rel}}^s\\left(t\\right) = \\sum_{i=1}^{3}r_{\\text{rel}, i}^s\\left(t\\right)$$.\n",
    "\n",
    "We saw in the previous article, however, that for small values of the relative returns, the following approximation holds $$ r_i\\left(t\\right) \\simeq r_{\\text{rel},i}\\left(t\\right)$$\n",
    "\n",
    "Thus, an alternative way is to simply add all the strategy log-returns first and then convert these to relative returns. Let us examine how good this approximation is."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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+TjJWH6iK9zB87DlVDwA4WdMS55FQT8QgkIiIiCjBBMsECmVNILwVQmujUOzE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\nAQAAAKCM/D8+kSdnyS6mdQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1bd236c77b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Total strategy relative returns. This is the exact calculation.\n",
    "cum_relative_return_exact = cum_strategy_asset_relative_returns.sum(axis=1)\n",
    "\n",
    "# Get the cumulative log-returns per asset\n",
    "cum_strategy_log_return = cum_strategy_asset_log_returns.sum(axis=1)\n",
    "\n",
    "# Transform the cumulative log returns to relative returns. This is the approximation\n",
    "cum_relative_return_approx = np.exp(cum_strategy_log_return) - 1\n",
    "\n",
    "fig = plt.figure(figsize=(15,9))\n",
    "ax = fig.add_subplot(1,1,1)\n",
    "\n",
    "ax.plot(cum_relative_return_exact.index, 100*cum_relative_return_exact, label='Exact')\n",
    "ax.plot(cum_relative_return_approx.index, 100*cum_relative_return_approx, label='Approximation')\n",
    "\n",
    "ax.set_ylabel('Total cumulative relative returns (%)')\n",
    "ax.legend(loc='best')\n",
    "ax.grid()\n",
    "ax.xaxis.set_major_formatter(my_year_month_fmt)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As we can see, for relatively small time-intervals and as long the assumption that relative returns are small enough, the calculation of the total strategy returns using the log-return approximation can be satisfactory. However, when the small scale assumption breaks down, then the approximation is poor. Therefore what we need to remember the following:\n",
    "\n",
    "1. Log-returns can and should be added across time for a single asset to calculate cumulative return timeseries across time.\n",
    "2. However, when summing (or averaging) log-returns across assets, care should be taken. Relative returns can be added, but log-returns only if we can safely assume they are a good-enough approximation of the relative returns.\n",
    "\n",
    "The overall, yearly, performance of our strategy can be calculated again as:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Total portfolio return is: 108.24%\n",
      "Average yearly return is:  4.39%\n"
     ]
    }
   ],
   "source": [
    "def print_portfolio_yearly_statistics(portfolio_cumulative_relative_returns, days_per_year = 52 * 5):\n",
    "\n",
    "    total_days_in_simulation = portfolio_cumulative_relative_returns.shape[0]\n",
    "    number_of_years = total_days_in_simulation / days_per_year\n",
    "\n",
    "    # The last data point will give us the total portfolio return\n",
    "    total_portfolio_return = portfolio_cumulative_relative_returns[-1]\n",
    "    # Average portfolio return assuming compunding of returns\n",
    "    average_yearly_return = (1 + total_portfolio_return)**(1/number_of_years) - 1\n",
    "\n",
    "    print('Total portfolio return is: ' + '{:5.2f}'.format(100*total_portfolio_return) + '%')\n",
    "    print('Average yearly return is: ' + '{:5.2f}'.format(100*average_yearly_return) + '%')\n",
    "\n",
    "print_portfolio_yearly_statistics(cum_relative_return_exact)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# What Next?\n",
    "\n",
    "One can observe that this strategy signficantly underperforms the buy and hold strategy that was presented in the previous article. Let's compare them again:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Total portfolio return is: 248.51%\n",
      "Average yearly return is:  7.59%\n"
     ]
    },
    {
     "data": {
      "image/png": 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gsEbakEZEREREpKkqK7CPfS+ArZ+Eblc1x2G03bIC9q6q/3OCpeeIDZLfsKpJ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\nUJIkSZKEyaEkSZIkCZNDSZIkSRImh5IkSZIkTA4lSZIkSZgcS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      "text/plain": [
       "<matplotlib.figure.Figure at 0x1bd23ee75f8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Define the weights matrix for the simple buy-and-hold strategy\n",
    "simple_weights_matrix = pd.DataFrame(1/3, index = data.index, columns=data.columns)\n",
    "\n",
    "# Get the buy-and-hold strategy log returns per asset\n",
    "simple_strategy_asset_log_returns = simple_weights_matrix * asset_log_returns\n",
    "\n",
    "# Get the cumulative log-returns per asset\n",
    "simple_cum_strategy_asset_log_returns = simple_strategy_asset_log_returns.cumsum()\n",
    "\n",
    "# Transform the cumulative log returns to relative returns\n",
    "simple_cum_strategy_asset_relative_returns = np.exp(simple_cum_strategy_asset_log_returns) - 1\n",
    "\n",
    "# Total strategy relative returns. This is the exact calculation.\n",
    "simple_cum_relative_return_exact = simple_cum_strategy_asset_relative_returns.sum(axis=1)\n",
    "\n",
    "fig = plt.figure(figsize=(15,9))\n",
    "ax = fig.add_subplot(1,1,1)\n",
    "\n",
    "ax.plot(cum_relative_return_exact.index, 100*cum_relative_return_exact, label='EMA strategy')\n",
    "ax.plot(simple_cum_relative_return_exact.index, 100*simple_cum_relative_return_exact, label='Buy and hold')\n",
    "\n",
    "ax.set_ylabel('Total cumulative relative returns (%)')\n",
    "ax.legend(loc='best')\n",
    "ax.grid()\n",
    "ax.xaxis.set_major_formatter(my_year_month_fmt)\n",
    "\n",
    "print_portfolio_yearly_statistics(simple_cum_relative_return_exact)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Which Strategy is Better? \n",
    "This is not a simple question for one to answer at this point. When we need to choose between two or more strategies, we need to define a metric (or metrics) based on which to compare them. This very important topic will be covered in the next article. \n",
    "\n",
    "In addition, we observe in this last graph that the performance of the two strategies is not constant across time. There are some periods when one outperforms the other and other periods when it is not. So a second question that naturally arises is how do we mitigate the risk to be \"tricked\" by a good backtesting performance in a given period."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
